24422664002256 has 240 divisors, whose sum is σ = 77281884476160. Its totient is φ = 7147246740480.

The previous prime is 24422664002251. The next prime is 24422664002263. The reversal of 24422664002256 is 65220046622442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24422664002251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280041 + ... + 6994551.

It is an arithmetic number, because the mean of its divisors is an integer number (322007851984).

Almost surely, 2^{24422664002256} is an apocalyptic number.

24422664002256 is a gapful number since it is divisible by the number (26) 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 24422664002256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38640942238080).

24422664002256 is an abundant number, since it is smaller than the sum of its proper divisors (52859220473904).

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

24422664002256 is a wasteful number, since it uses less digits than its factorization.

24422664002256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714634 (or 6714625 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 24422664002256 in words is "twenty-four trillion, four hundred twenty-two billion, six hundred sixty-four million, two thousand, two hundred fifty-six".