2557905 has 32 divisors (see below), whose sum is σ = 4955904. Its totient is φ = 1099776.

The previous prime is 2557901. The next prime is 2557909. The reversal of 2557905 is 5097552.

2557905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2557901) and next prime (2557909).

It is not a de Polignac number, because 2557905 - 2² = 2557901 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2557901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069 + ... + 2501.

It is an arithmetic number, because the mean of its divisors is an integer number (154872).

2^2557905 is an apocalyptic number.

It is an amenable number.

2557905 is a deficient number, since it is larger than the sum of its proper divisors (2397999).

2557905 is a wasteful number, since it uses less digits than its factorization.

2557905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465.

The product of its (nonzero) digits is 15750, while the sum is 33.

The square root of 2557905 is about 1599.3451785028. The cubic root of 2557905 is about 136.7607488874.

The spelling of 2557905 in words is "two million, five hundred fifty-seven thousand, nine hundred five".