22681409424 has 80 divisors (see below), whose sum is σ = 59816022720. Its totient is φ = 7403834880.

The previous prime is 22681409417. The next prime is 22681409453. The reversal of 22681409424 is 42490418622.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 653599 + ... + 687425.

It is an arithmetic number, because the mean of its divisors is an integer number (747700284).

Almost surely, 2^22681409424 is an apocalyptic number.

22681409424 is a gapful number since it is divisible by the number (24) 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 22681409424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29908011360).

22681409424 is an abundant number, since it is smaller than the sum of its proper divisors (37134613296).

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

22681409424 is a wasteful number, since it uses less digits than its factorization.

22681409424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34128 (or 34122 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 22681409424 in words is "twenty-two billion, six hundred eighty-one million, four hundred nine thousand, four hundred twenty-four".