2632056642801 has 32 divisors (see below), whose sum is σ = 3967981056000. Its totient is φ = 1723855593744.

The previous prime is 2632056642799. The next prime is 2632056642827. The reversal of 2632056642801 is 1082466502362.

2632056642801 is a `hidden beast` number, since 2 + 6 + 3 + 2 + 0 + 566 + 4 + 2 + 80 + 1 = 666.

2632056642801 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 2632056642801 - 2¹ = 2632056642799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2632056642881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1953576 + ... + 3013398.

It is an arithmetic number, because the mean of its divisors is an integer number (123999408000).

Almost surely, 2^{2632056642801} is an apocalyptic number.

It is an amenable number.

2632056642801 is a deficient number, since it is larger than the sum of its proper divisors (1335924413199).

2632056642801 is a wasteful number, since it uses less digits than its factorization.

2632056642801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061450 (or 1061444 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2632056642801 in words is "two trillion, six hundred thirty-two billion, fifty-six million, six hundred forty-two thousand, eight hundred one".