2560800 has 144 divisors (see below), whose sum is σ = 9186912. Its totient is φ = 614400.

The previous prime is 2560793. The next prime is 2560823. The reversal of 2560800 is 80652.

It is a happy number.

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, 26352 + ... + 26448.

It is an arithmetic number, because the mean of its divisors is an integer number (63798).

2^2560800 is an apocalyptic number.

2560800 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 2560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593456).

2560800 is an abundant number, since it is smaller than the sum of its proper divisors (6626112).

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

2560800 is a wasteful number, since it uses less digits than its factorization.

2560800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2560800 is about 1600.2499804718. The cubic root of 2560800 is about 136.8123240496.

2560800 divided by its product of nonzero digits (480) gives a palindrome (5335).

The spelling of 2560800 in words is "two million, five hundred sixty thousand, eight hundred".