22380002568 has 896 divisors, whose sum is σ = 85873075200. Its totient is φ = 5290790400.

The previous prime is 22380002531. The next prime is 22380002569. The reversal of 22380002568 is 86520008322.

22380002568 is a `hidden beast` number, since 22 + 380 + 0 + 0 + 256 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22380002569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 366885258 + ... + 366885318.

Almost surely, 2^22380002568 is an apocalyptic number.

22380002568 is a gapful number since it is divisible by the number (28) 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 22380002568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42936537600).

22380002568 is an abundant number, since it is smaller than the sum of its proper divisors (63493072632).

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

22380002568 is a wasteful number, since it uses less digits than its factorization.

22380002568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 22380002568 in words is "twenty-two billion, three hundred eighty million, two thousand, five hundred sixty-eight".