22840840028160 has 2400 divisors, whose sum is σ = 103678264166400. Its totient is φ = 4708777328640.

The previous prime is 22840840028137. The next prime is 22840840028183. The reversal of 22840840028160 is 6182004804822.

22840840028160 is a `hidden beast` number, since 2 + 2 + 84 + 0 + 8 + 400 + 2 + 8 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (22840840028137) and next prime (22840840028183).

It is a super-2 number, since 2×22840840028160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 179849134017 + ... + 179849134143.

It is an arithmetic number, because the mean of its divisors is an integer number (43199276736).

Almost surely, 2^{22840840028160} is an apocalyptic number.

22840840028160 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 22840840028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51839132083200).

22840840028160 is an abundant number, since it is smaller than the sum of its proper divisors (80837424138240).

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

22840840028160 is an frugal number, since it uses more digits than its factorization.

22840840028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 22840840028160 in words is "twenty-two trillion, eight hundred forty billion, eight hundred forty million, twenty-eight thousand, one hundred sixty".