2570882380704 has 768 divisors, whose sum is σ = 8613435801600. Its totient is φ = 745039088640.

The previous prime is 2570882380691. The next prime is 2570882380757. The reversal of 2570882380704 is 4070832880752.

2570882380704 is a `hidden beast` number, since 257 + 0 + 8 + 8 + 2 + 380 + 7 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4235390769 + ... + 4235391375.

It is an arithmetic number, because the mean of its divisors is an integer number (11215411200).

Almost surely, 2^{2570882380704} is an apocalyptic number.

2570882380704 is a gapful number since it is divisible by the number (24) 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 2570882380704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306717900800).

2570882380704 is an abundant number, since it is smaller than the sum of its proper divisors (6042553420896).

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

2570882380704 is a wasteful number, since it uses less digits than its factorization.

2570882380704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 2570882380704 in words is "two trillion, five hundred seventy billion, eight hundred eighty-two million, three hundred eighty thousand, seven hundred four".