2557670640 has 120 divisors (see below), whose sum is σ = 9223315920. Its totient is φ = 584607744.

The previous prime is 2557670611. The next prime is 2557670657. The reversal of 2557670640 is 460767552.

2557670640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2557670592 and 2557670601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96985 + ... + 120504.

It is an arithmetic number, because the mean of its divisors is an integer number (76860966).

Almost surely, 2^2557670640 is an apocalyptic number.

2557670640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2557670640 is an abundant number, since it is smaller than the sum of its proper divisors (6665645280).

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

2557670640 is a wasteful number, since it uses less digits than its factorization.

2557670640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217519 (or 217506 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 2557670640 is about 50573.4183143675. The cubic root of 2557670640 is about 1367.5657200205.

The spelling of 2557670640 in words is "two billion, five hundred fifty-seven million, six hundred seventy thousand, six hundred forty".