2557680 has 40 divisors (see below), whose sum is σ = 7929552. Its totient is φ = 681984.

The previous prime is 2557673. The next prime is 2557691. The reversal of 2557680 is 867552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5089 + ... + 5568.

2^2557680 is an apocalyptic number.

2557680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2557680 is an abundant number, since it is smaller than the sum of its proper divisors (5371872).

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

2557680 is a wasteful number, since it uses less digits than its factorization.

2557680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10673 (or 10667 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 2557680 is about 1599.2748356677. The cubic root of 2557680 is about 136.7567388257.

The spelling of 2557680 in words is "two million, five hundred fifty-seven thousand, six hundred eighty".