2413932022656 has 2048 divisors, whose sum is σ = 9828034560000. Its totient is φ = 564350976000.

The previous prime is 2413932022603. The next prime is 2413932022681. The reversal of 2413932022656 is 6562202393142.

2413932022656 is a `hidden beast` number, since 2 + 4 + 1 + 393 + 202 + 2 + 6 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14809398831 + ... + 14809398993.

It is an arithmetic number, because the mean of its divisors is an integer number (4798845000).

Almost surely, 2^{2413932022656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413932022656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914017280000).

2413932022656 is an abundant number, since it is smaller than the sum of its proper divisors (7414102537344).

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

2413932022656 is a wasteful number, since it uses less digits than its factorization.

2413932022656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 2413932022656 in words is "two trillion, four hundred thirteen billion, nine hundred thirty-two million, twenty-two thousand, six hundred fifty-six".