2570569680 has 160 divisors (see below), whose sum is σ = 9155985408. Its totient is φ = 584409600.

The previous prime is 2570569667. The next prime is 2570569681. The reversal of 2570569680 is 869650752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2570569681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 316875 + ... + 324885.

Almost surely, 2^2570569680 is an apocalyptic number.

2570569680 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 2570569680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577992704).

2570569680 is an abundant number, since it is smaller than the sum of its proper divisors (6585415728).

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

2570569680 is a wasteful number, since it uses less digits than its factorization.

2570569680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8225 (or 8219 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 2570569680 is about 50700.7857927271. The cubic root of 2570569680 is about 1369.8608699531.

The spelling of 2570569680 in words is "two billion, five hundred seventy million, five hundred sixty-nine thousand, six hundred eighty".