Huh... I've always described 2^10 bytes as a "kilobyte" (kB) but I've always hated the ambiguity, even if the difference between 2^10 and 10^3 is usually not important. Thanks to this comment, I learned there is an formal set of units which are distinct from their SI counterparts[0].
1000^1 kB, 1024^1 kibibyte (kiB)
1000^2 MB, 1024^2 mebibyte (MiB)
1000^3 GB, 1024^3 gibibyte (GiB)
1000^4 TB, 1024^4 tebibyte (TiB)
1000^5 PB, 1024^5 pebibyte (PiB)
1000^6 EB, 1024^6 exbibyte (EiB)
1000^7 ZB, 1024^7 zebibyte (ZiB)
1000^8 YB, 1024^8 yobibyte (YiB)
It looks like those units have been around since 1995, but they haven't seen much mainstream adoption. Too bad.
[0] https://en.wikipedia.org/wiki/Kibibyte