2556800 has 96 divisors (see below), whose sum is σ = 6829920. Its totient is φ = 942080.

The previous prime is 2556793. The next prime is 2556803. The reversal of 2556800 is 86552.

It is a Cunningham number, because it is equal to 1599²-1.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2556800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 54377 + ... + 54423.

It is an arithmetic number, because the mean of its divisors is an integer number (71145).

2^2556800 is an apocalyptic number.

2556800 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 2556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414960).

2556800 is an abundant number, since it is smaller than the sum of its proper divisors (4273120).

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

2556800 is a wasteful number, since it uses less digits than its factorization.

2556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2556800 is about 1598.9996873045. Note that the first 3 decimals coincide. The cubic root of 2556800 is about 136.7410527697.

The spelling of 2556800 in words is "two million, five hundred fifty-six thousand, eight hundred".