2632710405906 has 384 divisors, whose sum is σ = 7542632448000. Its totient is φ = 659621128320.

The previous prime is 2632710405877. The next prime is 2632710405907. The reversal of 2632710405906 is 6095040172362.

2632710405906 is a `hidden beast` number, since 2 + 6 + 3 + 2 + 7 + 10 + 40 + 590 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2632710405907) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83623440 + ... + 83654916.

It is an arithmetic number, because the mean of its divisors is an integer number (19642272000).

Almost surely, 2^{2632710405906} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2632710405906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771316224000).

2632710405906 is an abundant number, since it is smaller than the sum of its proper divisors (4909922042094).

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

2632710405906 is a wasteful number, since it uses less digits than its factorization.

2632710405906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31579 (or 31562 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2632710405906 in words is "two trillion, six hundred thirty-two billion, seven hundred ten million, four hundred five thousand, nine hundred six".