2630826432 has 336 divisors, whose sum is σ = 8926555680. Its totient is φ = 752689152.

The previous prime is 2630826427. The next prime is 2630826433. The reversal of 2630826432 is 2346280362.

2630826432 is a `hidden beast` number, since 2 + 6 + 3 + 0 + 8 + 2 + 643 + 2 = 666.

2630826432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2630826433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31696663 + ... + 31696745.

It is an arithmetic number, because the mean of its divisors is an integer number (26567130).

Almost surely, 2^2630826432 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 2630826432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463277840).

2630826432 is an abundant number, since it is smaller than the sum of its proper divisors (6295729248).

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

2630826432 is a wasteful number, since it uses less digits than its factorization.

2630826432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2630826432 is about 51291.5824673016. The cubic root of 2630826432 is about 1380.4819488677.

The spelling of 2630826432 in words is "two billion, six hundred thirty million, eight hundred twenty-six thousand, four hundred thirty-two".