2564890997760 has 3520 divisors, whose sum is σ = 12316979136000. Its totient is φ = 505658474496.

The previous prime is 2564890997737. The next prime is 2564890997789. The reversal of 2564890997760 is 677990984652.

2564890997760 is a `hidden beast` number, since 2 + 56 + 489 + 0 + 9 + 97 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 35135493084 + ... + 35135493156.

It is an arithmetic number, because the mean of its divisors is an integer number (3499141800).

Almost surely, 2^{2564890997760} is an apocalyptic number.

2564890997760 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 2564890997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6158489568000).

2564890997760 is an abundant number, since it is smaller than the sum of its proper divisors (9752088138240).

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

2564890997760 is a wasteful number, since it uses less digits than its factorization.

2564890997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 2564890997760 in words is "two trillion, five hundred sixty-four billion, eight hundred ninety million, nine hundred ninety-seven thousand, seven hundred sixty".