Does the math. 24 disks, 1.44 MB each. 34.5 MB total. That's 34,500,000 bytes. 2400 bps is actually 300 bytes per second, assuming no bits wasted on error correction or something. So 115k seconds. Or about 32 hours. Assuming no errors, blips, kids pickup up the phone, etc. Probably at least three days if you can only use your modem during off-peak hours like most of us dial up users of the era.

Do you remember it fondly? Or do you shudder in pain? ;)