Many of the companies that make 2000w gens are now going to a 2200 model with a bigger engine. Bigger engine means more watts for the continuous rating.
Forget the 2000w when buying new, and go for a 2200 that has the highest continuous watts (VA actually) rating for the money.
The Honda 2200 has 1800w but costs twice as much as another gen that is also a 2200 but with 1700w. The Honda has a 122 ish CC engine and the other a 111 CC. so that is why the Honda can do 1800 instead of 1700.
so you can see where one with an 80 CC engine would fit in.