2580800 has 42 divisors (see below), whose sum is σ = 6354318. Its totient is φ = 1031680.

The previous prime is 2580791. The next prime is 2580803. The reversal of 2580800 is 80852.

It can be written as a sum of positive squares in 3 ways, for example, as 246016 + 2334784 = 496^2 + 1528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 794 + ... + 2406.

2^2580800 is an apocalyptic number.

2580800 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 2580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177159).

2580800 is an abundant number, since it is smaller than the sum of its proper divisors (3773518).

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

2580800 is a wasteful number, since it uses less digits than its factorization.

2580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 2580800 is about 1606.4868502419. The cubic root of 2580800 is about 137.1675716042.

The spelling of 2580800 in words is "two million, five hundred eighty thousand, eight hundred".