22539054240 has 288 divisors, whose sum is σ = 84981851136. Its totient is φ = 5410775040.

The previous prime is 22539054229. The next prime is 22539054283. The reversal of 22539054240 is 4245093522.

22539054240 is a `hidden beast` number, since 2 + 25 + 3 + 90 + 542 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 22539054195 and 22539054204.

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 47 ways as a sum of consecutive naturals, for example, 543025 + ... + 583055.

It is an arithmetic number, because the mean of its divisors is an integer number (295075872).

Almost surely, 2^22539054240 is an apocalyptic number.

22539054240 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 22539054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42490925568).

22539054240 is an abundant number, since it is smaller than the sum of its proper divisors (62442796896).

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

22539054240 is a wasteful number, since it uses less digits than its factorization.

22539054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40092 (or 40081 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 22539054240 in words is "twenty-two billion, five hundred thirty-nine million, fifty-four thousand, two hundred forty".