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I can say that I'm using the Logitech C920 with OpenCV and I'm getting 1920 by 1080 frames out of it without issue. In fact, if you take only a single frame, you can go all the way to 2304 by 1536 with the C920 camera. I'm not sure why it fails when the grabber.grab's come in a faster clip, but it does manage to auto-change down to 1920x1080 and work correctly. The internals of this decision are opaque to me. The upshot: you should be good for 1920 x 1080.

I think the problem here is the the rows and columns are NOT the same as the number of pixels, there's some grouping of pixels to make up a column. Look more closely at those calculations.