2556120 has 128 divisors (see below), whose sum is σ = 9331200. Its totient is φ = 546816.

The previous prime is 2556107. The next prime is 2556121. The reversal of 2556120 is 216552.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14191 + ... + 14369.

It is an arithmetic number, because the mean of its divisors is an integer number (72900).

2^2556120 is an apocalyptic number.

2556120 is a gapful number since it is divisible by the number (20) 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 2556120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665600).

2556120 is an abundant number, since it is smaller than the sum of its proper divisors (6775080).

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

2556120 is a wasteful number, since it uses less digits than its factorization.

2556120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2556120 is about 1598.7870402277. The cubic root of 2556120 is about 136.7289292611.

The spelling of 2556120 in words is "two million, five hundred fifty-six thousand, one hundred twenty".