2570860768 has 144 divisors (see below), whose sum is σ = 6208925184. Its totient is φ = 1026201600.

The previous prime is 2570860729. The next prime is 2570860769. The reversal of 2570860768 is 8670680752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2570860769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9775005 + ... + 9775267.

It is an arithmetic number, because the mean of its divisors is an integer number (43117536).

Almost surely, 2^2570860768 is an apocalyptic number.

2570860768 is a gapful number since it is divisible by the number (28) 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 2570860768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104462592).

2570860768 is an abundant number, since it is smaller than the sum of its proper divisors (3638064416).

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

2570860768 is a wasteful number, since it uses less digits than its factorization.

2570860768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The square root of 2570860768 is about 50703.6563573082. The cubic root of 2570860768 is about 1369.9125750950.

The spelling of 2570860768 in words is "two billion, five hundred seventy million, eight hundred sixty thousand, seven hundred sixty-eight".