2557456 has 30 divisors (see below), whose sum is σ = 5450606. Its totient is φ = 1161600.

The previous prime is 2557453. The next prime is 2557501. The reversal of 2557456 is 6547552.

It can be written as a sum of positive squares in only one way, i.e., 2509056 + 48400 = 1584^2 + 220^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557453) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1276 + ... + 2596.

2^2557456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725303).

2557456 is an abundant number, since it is smaller than the sum of its proper divisors (2893150).

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

2557456 is a wasteful number, since it uses less digits than its factorization.

2557456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1334 counting only the distinct ones).

The product of its digits is 42000, while the sum is 34.

The square root of 2557456 is about 1599.2048023940. The cubic root of 2557456 is about 136.7527463529.

Subtracting from 2557456 its product of digits (42000), we obtain a cube (2515456 = 136³).

The spelling of 2557456 in words is "two million, five hundred fifty-seven thousand, four hundred fifty-six".