2556540 has 72 divisors (see below), whose sum is σ = 8867040. Its totient is φ = 584064.

The previous prime is 2556523. The next prime is 2556559. The reversal of 2556540 is 456552.

2556540 is a `hidden beast` number, since 2 + 5 + 5 + 654 + 0 = 666.

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, 246 + ... + 2274.

2^2556540 is an apocalyptic number.

2556540 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 2556540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433520).

2556540 is an abundant number, since it is smaller than the sum of its proper divisors (6310500).

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

2556540 is a wasteful number, since it uses less digits than its factorization.

2556540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2556540 is about 1598.9183844087. The cubic root of 2556540 is about 136.7364175644.

It can be divided in two parts, 25 and 56540, that added together give a palindrome (56565).

The spelling of 2556540 in words is "two million, five hundred fifty-six thousand, five hundred forty".