22972170240 has 384 divisors, whose sum is σ = 82728238320. Its totient is φ = 6115295232.

The previous prime is 22972170223. The next prime is 22972170241. The reversal of 22972170240 is 4207127922.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 22972170195 and 22972170204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22972170241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39812832 + ... + 39813408.

Almost surely, 2^22972170240 is an apocalyptic number.

22972170240 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 22972170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41364119160).

22972170240 is an abundant number, since it is smaller than the sum of its proper divisors (59756068080).

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

22972170240 is an frugal number, since it uses more digits than its factorization.

22972170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 22972170240 in words is "twenty-two billion, nine hundred seventy-two million, one hundred seventy thousand, two hundred forty".