22542626304 has 480 divisors, whose sum is σ = 75836217600. Its totient is φ = 6374522880.

The previous prime is 22542626287. The next prime is 22542626317. The reversal of 22542626304 is 40362624522.

22542626304 is a `hidden beast` number, since 2 + 25 + 4 + 2 + 626 + 3 + 0 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 85713277 + ... + 85713539.

It is an arithmetic number, because the mean of its divisors is an integer number (157992120).

Almost surely, 2^22542626304 is an apocalyptic number.

22542626304 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 22542626304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37918108800).

22542626304 is an abundant number, since it is smaller than the sum of its proper divisors (53293591296).

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

22542626304 is a wasteful number, since it uses less digits than its factorization.

22542626304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

It can be divided in two parts, 22542 and 626304, that added together give a palindrome (648846).

The spelling of 22542626304 in words is "twenty-two billion, five hundred forty-two million, six hundred twenty-six thousand, three hundred four".