As an electronics nerd, I can speak to this. The square-wave output of which you speak is bad for electronics. A square wave is a waveform with a (theoretically) infinite number of odd harmonics. What you need is a low-pass filter. Which would be a resistor, followed by a capacitor running to ground. The downside is that you'd have to size the resistor to handle the wattage of your load. 1850 Watts. I don't know of an 1850 watt resistor. One probably exists for huge industrial applications, but I'm guessing it would cost more than the generator.
That said, this square-wave type output is the same one used on each and every uninterruptible power supply that you can buy at Office Max/Staples/etc. There are hundreds of thousands of computers plugged into them across the world, and they can't fry computers TOO often.
An added bit of insurance is the fact that every electronic device you have is first rectifying the input voltage to DC anyway, so a lot of the noise & junk on the input is getting smoothed by each device's filter capacitors and/or voltage regulators anyway.
I wouldn't want to do it daily, but in a pinch my gut says you'll be okay. In theory the frequency of the sine wave shouldn't matter, either--within reason--'cause it's all getting rectified to DC anyway. But a voltage drop below the regulating limit of whatever linear regulator is built into the power supply--this is indeed a very bad thing.
Interesting side note. I have a client who uses a power conditioner that has a series of relays/switching logic that is connected to a large torroid transformer with multiple tap points. The incoming A/C is measured by the conditioner, and the circuitry controls where the relays tap the transformer, effectively changing the transformer ratio. Example: if the incoming power is 120VAC, it will select the tap that forms a 1:1 ratio. If the incoming power is, say, 108VAC, it will choose a tap point that increases the ratio of the secondary to make it 1:1.1, thus making the output as close as possible to 120VAC at all times. If I recall correctly, the client paid around a grand for this nifty little box.