2505402624 has 72 divisors (see below), whose sum is σ = 7019014240. Its totient is φ = 791175168.

The previous prime is 2505402593. The next prime is 2505402629. The reversal of 2505402624 is 4262045052.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2505402591 and 2505402600.

It is not an unprimeable number, because it can be changed into a prime (2505402629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71257 + ... + 100440.

Almost surely, 2^2505402624 is an apocalyptic number.

2505402624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2505402624 is an abundant number, since it is smaller than the sum of its proper divisors (4513611616).

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

2505402624 is a wasteful number, since it uses less digits than its factorization.

2505402624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171735 (or 171721 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2505402624 is about 50053.9970831501. The cubic root of 2505402624 is about 1358.1857700649.

Adding to 2505402624 its reverse (4262045052), we get a palindrome (6767447676).

The spelling of 2505402624 in words is "two billion, five hundred five million, four hundred two thousand, six hundred twenty-four".