22624980224 has 288 divisors, whose sum is σ = 58816966656. Its totient is φ = 8430428160.

The previous prime is 22624980223. The next prime is 22624980251. The reversal of 22624980224 is 42208942622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22624980223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48865817 + ... + 48866279.

Almost surely, 2^22624980224 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 22624980224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29408483328).

22624980224 is an abundant number, since it is smaller than the sum of its proper divisors (36191986432).

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

22624980224 is a wasteful number, since it uses less digits than its factorization.

22624980224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 22624980224 in words is "twenty-two billion, six hundred twenty-four million, nine hundred eighty thousand, two hundred twenty-four".