22921866240 has 1056 divisors, whose sum is σ = 97369337856. Its totient is φ = 4476764160.

The previous prime is 22921866221. The next prime is 22921866287. The reversal of 22921866240 is 4266812922.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 22921866192 and 22921866201.

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 95 ways as a sum of consecutive naturals, for example, 739415025 + ... + 739415055.

Almost surely, 2^22921866240 is an apocalyptic number.

22921866240 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 22921866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48684668928).

22921866240 is an abundant number, since it is smaller than the sum of its proper divisors (74447471616).

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

22921866240 is a wasteful number, since it uses less digits than its factorization.

22921866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 22921866240 in words is "twenty-two billion, nine hundred twenty-one million, eight hundred sixty-six thousand, two hundred forty".