2556320 has 48 divisors (see below), whose sum is σ = 6509160. Its totient is φ = 943104.

The previous prime is 2556277. The next prime is 2556331. The reversal of 2556320 is 236552.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2298256 + 258064 = 1516^2 + 508^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1466 + ... + 2694.

2^2556320 is an apocalyptic number.

2556320 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 2556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254580).

2556320 is an abundant number, since it is smaller than the sum of its proper divisors (3952840).

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

2556320 is a wasteful number, since it uses less digits than its factorization.

2556320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 2556320 is about 1598.8495864214. The cubic root of 2556320 is about 136.7324952221.

The spelling of 2556320 in words is "two million, five hundred fifty-six thousand, three hundred twenty".