22924218240 has 640 divisors, whose sum is σ = 102085125120. Its totient is φ = 4762644480.

The previous prime is 22924218221. The next prime is 22924218263. The reversal of 22924218240 is 4281242922.

22924218240 is a `hidden beast` number, since 229 + 2 + 421 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 22924218195 and 22924218204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3988809 + ... + 3994551.

It is an arithmetic number, because the mean of its divisors is an integer number (159508008).

Almost surely, 2^22924218240 is an apocalyptic number.

22924218240 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 22924218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51042562560).

22924218240 is an abundant number, since it is smaller than the sum of its proper divisors (79160906880).

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

22924218240 is a wasteful number, since it uses less digits than its factorization.

22924218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 22924218240 in words is "twenty-two billion, nine hundred twenty-four million, two hundred eighteen thousand, two hundred forty".