That is a really heavy tongue weight considering stated dry weight is usually never a reality. You may want to load it and see where you are in reality. I see that Curt makes a hitch that is rated for #2700 hitch/#20,000 trailer weight. It claims to be a bolt-on...I couldn't imagine ever towing 20,000 on a ball:E It is on the E-trailer website.
hitch I upgraded my factory hitch when I had our WW fsc3200 to a Curt XD 1600/16,000 and added Timbrens. Even that trailer as heavy as it was always had a tongue weight between 1400 and 1600, the third axle probably helped.