I have the Yamaha EF2400iS. It's the predecessor to the EF2400iSHC. The new model has an even higher starting capacity than the 2400iS.
That said, there's very little I can't run with mine. When it was introduced, it was designed to do what a single Honda 2KW cannot. It will reliably start, run, and restart a roof top A/C unit with a high head pressure.
Here's some of the testing I've done with mine:
http://www.2manytoyz.com/yamaha2400.htmlIt doesn't NEED an eco switch. It has the same sized motor as the 2800W, and 3000W models. Has plenty of grunt to get the A/C compressor spinning. The motor only runs as fast as the load demands.
I've used an Iota 75A charger with this generator to recharge a solar battery bank at home. The pic shows a 13.56A @ 120VAC continuous load on the generator, while the Iota charger is supplying 74.4A @ 12VDC to the battery bank.

I purchased this generator in 2006, and it still works flawlessly. I bought it initially to run the 13,500 BTU A/C unit on our travel trailer. It's really nice to be able to run the A/C at rest stops here in the South in the middle of Summer.

It's also served as emergency power during our recent hurricanes. I used it to run a 12,000 BTU portable A/C unit, a fridge, TV, lights, fan, etc.


Unless you have a constant heavy load, this thing sips fuel. It'll run for 8+ hours on 1.6 gallons of fuel. "I" have never found need of an extended run kit, though they ARE available. My coworker bought one for his. It uses a new gas cap, with a float switch, and an external fuel pump. It keeps the onboard fuel tank full. I prefer to check on my generator every 8 hours.
If my generator died today, I'd buy the new version of the same generator. Heck of a good price here:
https://amzn.to/2TWabqb