22264518240 has 144 divisors (see below), whose sum is σ = 76016356416. Its totient is φ = 5934182400.

The previous prime is 22264518239. The next prime is 22264518293. The reversal of 22264518240 is 4281546222.

22264518240 is a `hidden beast` number, since 2 + 2 + 2 + 645 + 1 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 22264518195 and 22264518204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5413785 + ... + 5417895.

It is an arithmetic number, because the mean of its divisors is an integer number (527891364).

Almost surely, 2^22264518240 is an apocalyptic number.

22264518240 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 22264518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38008178208).

22264518240 is an abundant number, since it is smaller than the sum of its proper divisors (53751838176).

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

22264518240 is a wasteful number, since it uses less digits than its factorization.

22264518240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893 (or 7882 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 22264518240 in words is "twenty-two billion, two hundred sixty-four million, five hundred eighteen thousand, two hundred forty".