2631435264 has 132 divisors (see below), whose sum is σ = 7804580524. Its totient is φ = 853327872.

The previous prime is 2631435259. The next prime is 2631435281. The reversal of 2631435264 is 4625341362.

It can be written as a sum of positive squares in 2 ways, for example, as 1882865664 + 748569600 = 43392^2 + 27360^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337134 + ... + 344850.

Almost surely, 2^2631435264 is an apocalyptic number.

2631435264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631435264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902290262).

2631435264 is an abundant number, since it is smaller than the sum of its proper divisors (5173145260).

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

2631435264 is a wasteful number, since it uses less digits than its factorization.

2631435264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7780 (or 7759 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2631435264 is about 51297.5171328984. The cubic root of 2631435264 is about 1380.5884321066.

The spelling of 2631435264 in words is "two billion, six hundred thirty-one million, four hundred thirty-five thousand, two hundred sixty-four".