"2k" is film-res, so he's not using NTSC or PAL 
I've only worked with video, not film, but a good rule of thumb is to think of how much of the screen your image is going to fill, and figure out about how many pixels that is; you don't have to go any higher than that (unless you stretch it larger than the screen, like for a sky texture, as jtk77 mentioned). For example, there's no reason to make an image that's going on NTSC any higher resolution than 720x486: that's the maximum number of pixels on an NTSC monitor, and any more detail than that will be lost anyway. If the image is only going to take up a quarter of the screen maximum, there's no reason to make it higher resolution than 360x243, etc. Of course, having more resolution than you actually need is (way) better than having less, but it's a question of efficiency and disk space. Up to you.
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Brian Demong
Publisher, Combustion Instructor
Mesmer Animation Labs