Your planned 2500 WATT INVERTER connected to your battery setup will draw over 200AMPS of DC AMPS from your batteries to produce 120VAC @ 2500WATTS. You will need to have probably a 400AMP inline fuse between the Battery Connections and the Inverter to protect your wiring and connections.
This is alot of CURRENT to be pulling from a battery. Check your battery specs and you will find that a 85-100AH typical deep cycle battery will only produce 12VDC with this amount of current for 15 minutes or so. To be safe and not destroy your deep cycle batteries you can only expect to run them down to 50% charge state or around 12.0VDC.
Alot of of folks think they can replace their 120AC requirements when running off the power grid with a simple high wattage INVERTER. This is really not the case and a 2KW Honda type generator is the best bet. You can do this but you will need probably six or more batteries wired in parallel to even get 2-6 hours of use running a full 2500watts load.
I get by real good with my 600WATT PSW INVERTER setup running around 300WATTS of load for our home entertainment electronic items for three hours each night between 8PM and 11PM and adding in my normal parasitic load of 1AMP for the remaining 7 hours from my 255AH battery bank. This drops down my three 85AH battery to 12.0VDC by the next morning where I must re-charge my batteries using my 2KW Honda generator providing power to my trailer to run its on-board smart mode CONVERTER. I can re-charge my battery bank back up to around 90% charge state in three hours time doing this... Here on the East side of the US we have lots of generator run time restrictions in place which requires us to beef up our battery banks and run our 120VAC things off of an INVERTER when camping off the power grid. Generators are never allowed after 8PM at most public places.
It takes good planning to use INVERTERs and be able to re-charge your batteries each morning so you won't destroy the batteries. 15-20 minutes is not a long time to enjoy your loaded 2500WATT Inverter with just a couple of batteries in your battery bank.
Just passing along to get you thinking about what you want to do...
I'm sure others on here will pass along the same info...
It would also be very helpful to others on here when discussing these things if the proper name for your items is being used. You seem to be mixing the terms CONVERTER and INVERTER.
Please NOTE this typical configuration diagram of a 30AMP Trailer Electrical System that may help identify the major electrical items being used.

Roy Ken