22624842240 has 1600 divisors, whose sum is σ = 109800472320. Its totient is φ = 4299816960.

The previous prime is 22624842197. The next prime is 22624842319. The reversal of 22624842240 is 4224842622.

22624842240 is a `hidden beast` number, since 2 + 2 + 624 + 8 + 4 + 2 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22624842195 and 22624842204.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 207567306 + ... + 207567414.

Almost surely, 2^22624842240 is an apocalyptic number.

22624842240 is a gapful number since it is divisible by the number (20) 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 22624842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54900236160).

22624842240 is an abundant number, since it is smaller than the sum of its proper divisors (87175630080).

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

22624842240 is a wasteful number, since it uses less digits than its factorization.

22624842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 22624842240 in words is "twenty-two billion, six hundred twenty-four million, eight hundred forty-two thousand, two hundred forty".