2505904963632 has 120 divisors (see below), whose sum is σ = 8436756124160. Its totient is φ = 678290060160.

The previous prime is 2505904963631. The next prime is 2505904963633. The reversal of 2505904963632 is 2363694095052.

It is a happy number.

2505904963632 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 90 + 496 + 3 + 63 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2505904963631) and next prime (2505904963633).

It is not an unprimeable number, because it can be changed into a prime (2505904963631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65402344 + ... + 65440647.

Almost surely, 2^{2505904963632} is an apocalyptic number.

It is an amenable number.

2505904963632 is an abundant number, since it is smaller than the sum of its proper divisors (5930851160528).

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

2505904963632 is a wasteful number, since it uses less digits than its factorization.

2505904963632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130843031 (or 130843022 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 2505904963632 in words is "two trillion, five hundred five billion, nine hundred four million, nine hundred sixty-three thousand, six hundred thirty-two".