2400

2400 is a positive integer that follows 2399 and precedes 2401. In decimal notation, it is written as 2400. Its Roman numeral representation is MMCD.

In mathematics, 2400 factors as 2^5 × 3 × 5^2. It is an even, composite number with 36 positive divisors. The sum of all divisors is 7812, so the sum of its proper divisors is 5412, which makes 2400 an abundant number.

Representations of 2400 include binary and hexadecimal forms. In binary, it is 100101100000, and in hexadecimal, it is 0x960. The Roman numeral form, as noted, is MMCD.

In calendar and time contexts, 24-hour clock usage sometimes denotes 2400 hours as midnight at the end of a day, though many clocks use 0000 for the start of the next day. In the proleptic Gregorian calendar, 2400 is divisible by 400, so it would be a leap year.

In technology, 2400 has historical associations with data rates, such as 2400 baud modems, which were common in earlier telecommunications and computer systems.

In culture and discourse, the year 2400 is occasionally invoked in science fiction and futurist writing to denote a distant or speculative future. It also serves as an example of a round, round-number target in discussions of numeracy and number theory.