22580540928 has 240 divisors, whose sum is σ = 72006105600. Its totient is φ = 6754775040.

The previous prime is 22580540923. The next prime is 22580540929. The reversal of 22580540928 is 82904508522.

22580540928 is a `hidden beast` number, since 2 + 2 + 5 + 80 + 540 + 9 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22580540923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4001533 + ... + 4007171.

It is an arithmetic number, because the mean of its divisors is an integer number (300025440).

Almost surely, 2^22580540928 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 22580540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36003052800).

22580540928 is an abundant number, since it is smaller than the sum of its proper divisors (49425564672).

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

22580540928 is a wasteful number, since it uses less digits than its factorization.

22580540928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 22580540928 in words is "twenty-two billion, five hundred eighty million, five hundred forty thousand, nine hundred twenty-eight".