2557623 has 16 divisors (see below), whose sum is σ = 3603456. Its totient is φ = 1610400.

The previous prime is 2557613. The next prime is 2557631. The reversal of 2557623 is 3267552.

It is not a de Polignac number, because 2557623 - 2⁸ = 2557367 is a prime.

2557623 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557603) 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, 6786 + ... + 7152.

It is an arithmetic number, because the mean of its divisors is an integer number (225216).

2^2557623 is an apocalyptic number.

2557623 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2557623 is a deficient number, since it is larger than the sum of its proper divisors (1045833).

2557623 is a wasteful number, since it uses less digits than its factorization.

2557623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494.

The product of its digits is 12600, while the sum is 30.

The square root of 2557623 is about 1599.2570149916. The cubic root of 2557623 is about 136.7557229061.

The spelling of 2557623 in words is "two million, five hundred fifty-seven thousand, six hundred twenty-three".