2570702680 has 320 divisors, whose sum is σ = 7623201600. Its totient is φ = 774466560.

The previous prime is 2570702657. The next prime is 2570702731. The reversal of 2570702680 is 862070752.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36207045 + ... + 36207115.

It is an arithmetic number, because the mean of its divisors is an integer number (23822505).

Almost surely, 2^2570702680 is an apocalyptic number.

2570702680 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 2570702680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811600800).

2570702680 is an abundant number, since it is smaller than the sum of its proper divisors (5052498920).

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

2570702680 is a wasteful number, since it uses less digits than its factorization.

2570702680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 2570702680 is about 50702.0973925142. The cubic root of 2570702680 is about 1369.8844948529.

The spelling of 2570702680 in words is "two billion, five hundred seventy million, seven hundred two thousand, six hundred eighty".