22052006400 has 240 divisors, whose sum is σ = 73066752000. Its totient is φ = 5862850560.

The previous prime is 22052006393. The next prime is 22052006489. The reversal of 22052006400 is 460025022.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17240961 + ... + 17242239.

It is an arithmetic number, because the mean of its divisors is an integer number (304444800).

Almost surely, 2^22052006400 is an apocalyptic number.

22052006400 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 22052006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36533376000).

22052006400 is an abundant number, since it is smaller than the sum of its proper divisors (51014745600).

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

22052006400 is a wasteful number, since it uses less digits than its factorization.

22052006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The spelling of 22052006400 in words is "twenty-two billion, fifty-two million, six thousand, four hundred".