Why does Bitcoin adjust the difficulty every 2016 instead of 2048 blocks? I am reading Bitcoin wiki and it says

over the previous 2016 blocks. Can be further simplified to
D * 2**32 / 600

without much loss of accuracy.

I guess the reason of reducing to 2**32 is for computing convenience (bit operation). However, 0xffffff / 2016 = 32.507440476190474 and 0xffffff / 2048 = 31.99951171875 which is more accurate.
Why was 2016 chosen instead of 2048?
2016 blocks at an expected interval of 10 minutes are exactly 14 days. Likely the window for the difficulty period and interval were picked first and 2016 resulted from that.