2451056800 has 72 divisors (see below), whose sum is σ = 6190033500. Its totient is φ = 946606080.

The previous prime is 2451056747. The next prime is 2451056809. The reversal of 2451056800 is 86501542.

It can be written as a sum of positive squares in 6 ways, for example, as 1437016464 + 1014040336 = 37908^2 + 31844^2 .

It is not an unprimeable number, because it can be changed into a prime (2451056809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29625 + ... + 76024.

Almost surely, 2^2451056800 is an apocalyptic number.

2451056800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2451056800 is an abundant number, since it is smaller than the sum of its proper divisors (3738976700).

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

2451056800 is a wasteful number, since it uses less digits than its factorization.

2451056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105698 (or 105685 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 2451056800 is about 49508.1488242087. The cubic root of 2451056800 is about 1348.2935549250.

The spelling of 2451056800 in words is "two billion, four hundred fifty-one million, fifty-six thousand, eight hundred".