22344522240 has 320 divisors, whose sum is σ = 74418094080. Its totient is φ = 5713182720.

The previous prime is 22344522229. The next prime is 22344522283. The reversal of 22344522240 is 4222544322.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22344522198 and 22344522207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30235791 + ... + 30236529.

It is an arithmetic number, because the mean of its divisors is an integer number (232556544).

Almost surely, 2^22344522240 is an apocalyptic number.

22344522240 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 22344522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37209047040).

22344522240 is an abundant number, since it is smaller than the sum of its proper divisors (52073571840).

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

22344522240 is a wasteful number, since it uses less digits than its factorization.

22344522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The spelling of 22344522240 in words is "twenty-two billion, three hundred forty-four million, five hundred twenty-two thousand, two hundred forty".