2263264004631 has 48 divisors (see below), whose sum is σ = 3786990607584. Its totient is φ = 1194251175936.

The previous prime is 2263264004623. The next prime is 2263264004689. The reversal of 2263264004631 is 1364004623622.

It is not a de Polignac number, because 2263264004631 - 2³ = 2263264004623 is a prime.

It is a super-2 number, since 2×2263264004631² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2263264004631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263264004611) 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, 8411590 + ... + 8676483.

It is an arithmetic number, because the mean of its divisors is an integer number (78895637658).

Almost surely, 2^{2263264004631} is an apocalyptic number.

2263264004631 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2263264004631 is a deficient number, since it is larger than the sum of its proper divisors (1523726602953).

2263264004631 is a wasteful number, since it uses less digits than its factorization.

2263264004631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17088160 (or 17088153 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 2263264004631 in words is "two trillion, two hundred sixty-three billion, two hundred sixty-four million, four thousand, six hundred thirty-one".