2580400 has 30 divisors (see below), whose sum is σ = 6200372. Its totient is φ = 1032000.

The previous prime is 2580341. The next prime is 2580401. The reversal of 2580400 is 40852.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2580401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2826 + ... + 3625.

2^2580400 is an apocalyptic number.

2580400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2580400 is an abundant number, since it is smaller than the sum of its proper divisors (3619972).

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

2580400 is a wasteful number, since it uses less digits than its factorization.

2580400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6469 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2580400 is about 1606.3623501564. The cubic root of 2580400 is about 137.1604846720.

The spelling of 2580400 in words is "two million, five hundred eighty thousand, four hundred".