2657920 has 32 divisors (see below), whose sum is σ = 6355620. Its totient is φ = 1062912.

The previous prime is 2657911. The next prime is 2657939. The reversal of 2657920 is 297562.

It can be written as a sum of positive squares in 2 ways, for example, as 2238016 + 419904 = 1496^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1437 + ... + 2716.

2^2657920 is an apocalyptic number.

2657920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2657920 is an abundant number, since it is smaller than the sum of its proper divisors (3697700).

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

2657920 is an equidigital number, since it uses as much as digits as its factorization.

2657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 2657920 is about 1630.3128534119. The cubic root of 2657920 is about 138.5204738030.

The spelling of 2657920 in words is "two million, six hundred fifty-seven thousand, nine hundred twenty".