2557965 has 16 divisors (see below), whose sum is σ = 4225536. Its totient is φ = 1320000.

The previous prime is 2557963. The next prime is 2557967. The reversal of 2557965 is 5697552.

2557965 = T₁₉₂ + T₁₉₃ + ... + T₂₈₁.

It is an interprime number because it is at equal distance from previous prime (2557963) and next prime (2557967).

It is not a de Polignac number, because 2557965 - 2¹ = 2557963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2286 + ... + 3215.

It is an arithmetic number, because the mean of its divisors is an integer number (264096).

2^2557965 is an apocalyptic number.

It is an amenable number.

2557965 is a deficient number, since it is larger than the sum of its proper divisors (1667571).

2557965 is a wasteful number, since it uses less digits than its factorization.

2557965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5540.

The product of its digits is 94500, while the sum is 39.

The square root of 2557965 is about 1599.3639360696. The cubic root of 2557965 is about 136.7618181975.

The spelling of 2557965 in words is "two million, five hundred fifty-seven thousand, nine hundred sixty-five".