22071234240 has 672 divisors, whose sum is σ = 88996723200. Its totient is φ = 5106309120.

The previous prime is 22071234203. The next prime is 22071234257. The reversal of 22071234240 is 4243217022.

22071234240 is a `hidden beast` number, since 220 + 7 + 12 + 3 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50275941 + ... + 50276379.

It is an arithmetic number, because the mean of its divisors is an integer number (132435600).

Almost surely, 2^22071234240 is an apocalyptic number.

22071234240 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 22071234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44498361600).

22071234240 is an abundant number, since it is smaller than the sum of its proper divisors (66925488960).

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

22071234240 is a wasteful number, since it uses less digits than its factorization.

22071234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 22071234240 in words is "twenty-two billion, seventy-one million, two hundred thirty-four thousand, two hundred forty".