2580900 has 72 divisors (see below), whose sum is σ = 8541120. Its totient is φ = 589440.

The previous prime is 2580887. The next prime is 2580901. The reversal of 2580900 is 90852.

It is a super-2 number, since 2×2580900² = 13322089620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2580901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1486 + ... + 2714.

2^2580900 is an apocalyptic number.

2580900 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 2580900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270560).

2580900 is an abundant number, since it is smaller than the sum of its proper divisors (5960220).

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

2580900 is a wasteful number, since it uses less digits than its factorization.

2580900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2580900 is about 1606.5179737557. The cubic root of 2580900 is about 137.1693432228.

The spelling of 2580900 in words is "two million, five hundred eighty thousand, nine hundred".