2505376640 has 64 divisors (see below), whose sum is σ = 6450161760. Its totient is φ = 925059072.

The previous prime is 2505376603. The next prime is 2505376669. The reversal of 2505376640 is 466735052.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2505376594 and 2505376603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142244 + ... + 158883.

Almost surely, 2^2505376640 is an apocalyptic number.

2505376640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505376640 is an abundant number, since it is smaller than the sum of its proper divisors (3944785120).

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

2505376640 is a wasteful number, since it uses less digits than its factorization.

2505376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301159 (or 301147 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The square root of 2505376640 is about 50053.7375227864. The cubic root of 2505376640 is about 1358.1810747156.

The spelling of 2505376640 in words is "two billion, five hundred five million, three hundred seventy-six thousand, six hundred forty".