2426400264 has 16 divisors (see below), whose sum is σ = 6066000720. Its totient is φ = 808800080.

The previous prime is 2426400257. The next prime is 2426400329. The reversal of 2426400264 is 4620046242.

It is a super-2 number, since 2×2426400264² = 11774836482278539392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50549982 + ... + 50550029.

It is an arithmetic number, because the mean of its divisors is an integer number (379125045).

Almost surely, 2^2426400264 is an apocalyptic number.

2426400264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2426400264 is an abundant number, since it is smaller than the sum of its proper divisors (3639600456).

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

2426400264 is a wasteful number, since it uses less digits than its factorization.

2426400264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101100020 (or 101100016 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2426400264 is about 49258.5044839975. The cubic root of 2426400264 is about 1343.7572327601.

It can be divided in two parts, 24 and 26400264, that multiplied together give a palindrome (633606336).

The spelling of 2426400264 in words is "two billion, four hundred twenty-six million, four hundred thousand, two hundred sixty-four".