24420402002256 has 160 divisors (see below), whose sum is σ = 70561547521920. Its totient is φ = 7225962240000.

The previous prime is 24420402002167. The next prime is 24420402002257. The reversal of 24420402002256 is 65220020402442.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24420402002257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1853866 + ... + 7230326.

It is an arithmetic number, because the mean of its divisors is an integer number (441009672012).

Almost surely, 2^{24420402002256} is an apocalyptic number.

24420402002256 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 24420402002256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280773760960).

24420402002256 is an abundant number, since it is smaller than the sum of its proper divisors (46141145519664).

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

24420402002256 is a wasteful number, since it uses less digits than its factorization.

24420402002256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5376765 (or 5376759 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 24420402002256 its reverse (65220020402442), we get a palindrome (89640422404698).

The spelling of 24420402002256 in words is "twenty-four trillion, four hundred twenty billion, four hundred two million, two thousand, two hundred fifty-six".