2501027664 has 80 divisors (see below), whose sum is σ = 6525659712. Its totient is φ = 825375744.

The previous prime is 2501027663. The next prime is 2501027671. The reversal of 2501027664 is 4667201052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501027663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2917924 + ... + 2918780.

Almost surely, 2^2501027664 is an apocalyptic number.

2501027664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2501027664 is an abundant number, since it is smaller than the sum of its proper divisors (4024632048).

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

2501027664 is a wasteful number, since it uses less digits than its factorization.

2501027664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2501027664 is about 50010.2755841237. The cubic root of 2501027664 is about 1357.3947501061.

The spelling of 2501027664 in words is "two billion, five hundred one million, twenty-seven thousand, six hundred sixty-four".