2552632767 has 24 divisors (see below), whose sum is σ = 3917496960. Its totient is φ = 1597110480.

The previous prime is 2552632757. The next prime is 2552632769. The reversal of 2552632767 is 7672362552.

2552632767 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 632 + 7 + 6 + 7 = 666.

2552632767 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2552632767 - 2¹⁵ = 2552599999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552632769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51459 + ... + 88052.

It is an arithmetic number, because the mean of its divisors is an integer number (163229040).

Almost surely, 2^2552632767 is an apocalyptic number.

2552632767 is a deficient number, since it is larger than the sum of its proper divisors (1364864193).

2552632767 is a wasteful number, since it uses less digits than its factorization.

2552632767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139643 (or 139640 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 2552632767 is about 50523.5862444463. The cubic root of 2552632767 is about 1366.6672265779.

The spelling of 2552632767 in words is "two billion, five hundred fifty-two million, six hundred thirty-two thousand, seven hundred sixty-seven".