2578900 has 72 divisors (see below), whose sum is σ = 6233976. Its totient is φ = 921600.

The previous prime is 2578879. The next prime is 2578907. The reversal of 2578900 is 98752.

It can be written as a sum of positive squares in 12 ways, for example, as 470596 + 2108304 = 686^2 + 1452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578907) 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, 62880 + ... + 62920.

It is an arithmetic number, because the mean of its divisors is an integer number (86583).

2^2578900 is an apocalyptic number.

2578900 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 2578900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116988).

2578900 is an abundant number, since it is smaller than the sum of its proper divisors (3655076).

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

2578900 is a wasteful number, since it uses less digits than its factorization.

2578900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 2578900 is about 1605.8953888719. The cubic root of 2578900 is about 137.1339021517.

The spelling of 2578900 in words is "two million, five hundred seventy-eight thousand, nine hundred".