2484538400 has 72 divisors (see below), whose sum is σ = 6261099264. Its totient is φ = 961747200.

The previous prime is 2484538337. The next prime is 2484538411. The reversal of 2484538400 is 48354842.

It is a super-2 number, since 2×2484538400² = 12345862122149120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25292 + ... + 74891.

It is an arithmetic number, because the mean of its divisors is an integer number (86959712).

Almost surely, 2^2484538400 is an apocalyptic number.

2484538400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2484538400 is an abundant number, since it is smaller than the sum of its proper divisors (3776560864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2484538400 is a wasteful number, since it uses less digits than its factorization.

2484538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100234 (or 100221 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The square root of 2484538400 is about 49845.1441968022. The cubic root of 2484538400 is about 1354.4050709989.

The spelling of 2484538400 in words is "two billion, four hundred eighty-four million, five hundred thirty-eight thousand, four hundred".