Honda has a couple of different series -- the EUs are the quiet ones and the ones with sine-wave output. But they're more expensive than that to buy -- like $2K for the 2200 watt one. [correction below] Luckily, the OP isn't looking to buy, and they're as common as carrots at rental yards. They'll probably know what you mean if you say you want a Honda inverter generator -- they're incredibly popular. Around here, I think it's less than $100/day for the 2Kw, but I haven't had occasion to rent one in a while.
Edit: I took a moment to check on prices for Honda gennies, and I was pleasantly surprised to see that the EU1000i can be had for less than $1K and the EU2200i is only $1200 if you don't want to spring the extra $220 for a camo paint job.(!) Plus, now they're Bluetooth-enabled...what a world!