OK if that is the lightweight 2KW I'd advise against it.I bought one to use while our Honda 2.2 KW was in the shop (for months) and was quite displeased with it. I doubt that it really puts out 2K. We found we could not run two appliences at the same time, which the Honda could, and could not put the hot water heater on electric power.
I have used the Champion 3.5 KW and that was OK, of course it has a larger output. But I think they cut the power level down on that lightweight 2 KW.
I don't know anything about the Champion regular 2KW gen, it is probably OK.