2502967761627 has 16 divisors (see below), whose sum is σ = 3353206924320. Its totient is φ = 1660695436800.

The previous prime is 2502967761571. The next prime is 2502967761649. The reversal of 2502967761627 is 7261677692052.

It is a de Polignac number, because none of the positive numbers 2^k-2502967761627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2502967761527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104149 + ... + 2239817.

It is an arithmetic number, because the mean of its divisors is an integer number (209575432770).

Almost surely, 2^{2502967761627} is an apocalyptic number.

2502967761627 is a deficient number, since it is larger than the sum of its proper divisors (850239162693).

2502967761627 is a wasteful number, since it uses less digits than its factorization.

2502967761627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137534.

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 2502967761627 in words is "two trillion, five hundred two billion, nine hundred sixty-seven million, seven hundred sixty-one thousand, six hundred twenty-seven".