Worth using tiled background for a single image?

I'm trying to improve the performance of my game. I have a single image as a background that cover almost all the scene. First, i decided to place it as a sprite..., then I read in the forums that i could have used tiled background to improve the performance.

So my question is, would it be better even if there is only a single image (not repetitions of it) to justify the use of tiled background in this case?

Is it a very big image? If so you should cut it in parts first.

The image is 1280x720. I just need to use it as a single tiled background (in the sake of saving me some cpu resources). I do not need to repeat it over and over.

Do you recomend to split it anyway, even if not using tiled background?

Anyway spliting the image will not work for me as tiled background, there is no pattern to be repeated.