2457872000 has 128 divisors (see below), whose sum is σ = 6377529600. Its totient is φ = 940262400.

The previous prime is 2457871991. The next prime is 2457872029. The reversal of 2457872000 is 2787542.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2457872000² = 12082269536768000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364661 + ... + 371339.

It is an arithmetic number, because the mean of its divisors is an integer number (49824450).

Almost surely, 2^2457872000 is an apocalyptic number.

2457872000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2457872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188764800).

2457872000 is an abundant number, since it is smaller than the sum of its proper divisors (3919657600).

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

2457872000 is an equidigital number, since it uses as much as digits as its factorization.

2457872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6731 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 2457872000 is about 49576.9301187558. The cubic root of 2457872000 is about 1349.5420486021.

The spelling of 2457872000 in words is "two billion, four hundred fifty-seven million, eight hundred seventy-two thousand".