2556648 has 24 divisors (see below), whose sum is σ = 6924450. Its totient is φ = 852192.

The previous prime is 2556641. The next prime is 2556661. The reversal of 2556648 is 8466552.

2556648 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2490084 + 66564 = 1578^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2²¹ + 5⁵ + 5⁷ + 6 + 6⁷ + 4⁸ + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (2556641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17683 + ... + 17826.

2^2556648 is an apocalyptic number.

It is an amenable number.

2556648 is an abundant number, since it is smaller than the sum of its proper divisors (4367802).

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

2556648 is a wasteful number, since it uses less digits than its factorization.

2556648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35521 (or 35514 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2556648 is about 1598.9521568828. The cubic root of 2556648 is about 136.7383429956.

It can be divided in two parts, 255 and 6648, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 2556648 in words is "two million, five hundred fifty-six thousand, six hundred forty-eight".