2528580 has 96 divisors (see below), whose sum is σ = 7814016. Its totient is φ = 608256.

The previous prime is 2528573. The next prime is 2528587. The reversal of 2528580 is 858252.

2528580 = 12² + 13² + ... + 196².

It is an interprime number because it is at equal distance from previous prime (2528573) and next prime (2528587).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2528587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37707 + ... + 37773.

It is an arithmetic number, because the mean of its divisors is an integer number (81396).

2^2528580 is an apocalyptic number.

2528580 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 2528580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907008).

2528580 is an abundant number, since it is smaller than the sum of its proper divisors (5285436).

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

2528580 is a wasteful number, since it uses less digits than its factorization.

2528580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 2528580 is about 1590.1509362322. The cubic root of 2528580 is about 136.2361094612.

It can be divided in two parts, 252 and 8580, that multiplied together give a triangular number (2162160 = T₂₀₇₉).

The spelling of 2528580 in words is "two million, five hundred twenty-eight thousand, five hundred eighty".