2556144 has 80 divisors (see below), whose sum is σ = 7534240. Its totient is φ = 829440.

The previous prime is 2556143. The next prime is 2556149. The reversal of 2556144 is 4416552.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556143) 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, 26304 + ... + 26400.

It is an arithmetic number, because the mean of its divisors is an integer number (94178).

2^2556144 is an apocalyptic number.

2556144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767120).

2556144 is an abundant number, since it is smaller than the sum of its proper divisors (4978096).

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

2556144 is a wasteful number, since it uses less digits than its factorization.

2556144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 2556144 is about 1598.7945459001. The cubic root of 2556144 is about 136.7293571863.

It can be divided in two parts, 25 and 56144, that added together give a square (56169 = 237²).

The spelling of 2556144 in words is "two million, five hundred fifty-six thousand, one hundred forty-four".