2632961856 has 112 divisors (see below), whose sum is σ = 8057839104. Its totient is φ = 743179776.

The previous prime is 2632961839. The next prime is 2632961857. The reversal of 2632961856 is 6581692362.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632961857) 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, 99751 + ... + 123353.

It is an arithmetic number, because the mean of its divisors is an integer number (71944992).

Almost surely, 2^2632961856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2632961856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028919552).

2632961856 is an abundant number, since it is smaller than the sum of its proper divisors (5424877248).

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

2632961856 is a wasteful number, since it uses less digits than its factorization.

2632961856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23708 (or 23698 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 2632961856 is about 51312.3947599408. The cubic root of 2632961856 is about 1380.8553571382.

The spelling of 2632961856 in words is "two billion, six hundred thirty-two million, nine hundred sixty-one thousand, eight hundred fifty-six".