22630631040 has 256 divisors, whose sum is σ = 83636409600. Its totient is φ = 5772349440.

The previous prime is 22630631029. The next prime is 22630631069. The reversal of 22630631040 is 4013603622.

22630631040 is a `hidden beast` number, since 2 + 2 + 6 + 306 + 310 + 40 = 666.

It is a super-2 number, since 2×22630631040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22630630995 and 22630631013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368970 + ... + 425910.

It is an arithmetic number, because the mean of its divisors is an integer number (326704725).

Almost surely, 2^22630631040 is an apocalyptic number.

22630631040 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 22630631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41818204800).

22630631040 is an abundant number, since it is smaller than the sum of its proper divisors (61005778560).

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

22630631040 is a wasteful number, since it uses less digits than its factorization.

22630631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56992 (or 56974 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 22630631040 in words is "twenty-two billion, six hundred thirty million, six hundred thirty-one thousand, forty".