2565927421920 has 480 divisors, whose sum is σ = 9839714734080. Its totient is φ = 627321646080.

The previous prime is 2565927421919. The next prime is 2565927421961. The reversal of 2565927421920 is 291247295652.

2565927421920 is a `hidden beast` number, since 2 + 5 + 6 + 592 + 7 + 4 + 21 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2565927421920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7465369 + ... + 7801511.

It is an arithmetic number, because the mean of its divisors is an integer number (20499405696).

Almost surely, 2^{2565927421920} is an apocalyptic number.

2565927421920 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 2565927421920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919857367040).

2565927421920 is an abundant number, since it is smaller than the sum of its proper divisors (7273787312160).

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

2565927421920 is a wasteful number, since it uses less digits than its factorization.

2565927421920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336220 (or 336203 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2565927421920 in words is "two trillion, five hundred sixty-five billion, nine hundred twenty-seven million, four hundred twenty-one thousand, nine hundred twenty".