2531254400 has 48 divisors (see below), whose sum is σ = 6252997290. Its totient is φ = 1012500480.

The previous prime is 2531254391. The next prime is 2531254421. The reversal of 2531254400 is 44521352.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2180516416 + 350737984 = 46696^2 + 18728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2531254400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 392309 + ... + 398708.

Almost surely, 2^2531254400 is an apocalyptic number.

2531254400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2531254400 is an abundant number, since it is smaller than the sum of its proper divisors (3721742890).

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

2531254400 is an equidigital number, since it uses as much as digits as its factorization.

2531254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791041 (or 791024 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2531254400 is about 50311.5732212778. The cubic root of 2531254400 is about 1362.8412342859.

Adding to 2531254400 its reverse (44521352), we get a palindrome (2575775752).

The spelling of 2531254400 in words is "two billion, five hundred thirty-one million, two hundred fifty-four thousand, four hundred".