2556000 has 144 divisors (see below), whose sum is σ = 9199008. Its totient is φ = 672000.

The previous prime is 2555989. The next prime is 2556011. The reversal of 2556000 is 6552.

It is an interprime number because it is at equal distance from previous prime (2555989) and next prime (2556011).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35965 + ... + 36035.

It is an arithmetic number, because the mean of its divisors is an integer number (63882).

2^2556000 is an apocalyptic number.

2556000 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 2556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599504).

2556000 is an abundant number, since it is smaller than the sum of its proper divisors (6643008).

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

2556000 is a wasteful number, since it uses less digits than its factorization.

2556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2556000 is about 1598.7495113369. The cubic root of 2556000 is about 136.7267895953.

The spelling of 2556000 in words is "two million, five hundred fifty-six thousand".