2582528 has 48 divisors (see below), whose sum is σ = 5618340. Its totient is φ = 1179648.

The previous prime is 2582501. The next prime is 2582543. The reversal of 2582528 is 8252852.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2458624 + 123904 = 1568^2 + 352^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2582494 and 2582503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26576 + ... + 26672.

2^2582528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2582528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809170).

2582528 is an abundant number, since it is smaller than the sum of its proper divisors (3035812).

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

2582528 is an equidigital number, since it uses as much as digits as its factorization.

2582528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its digits is 12800, while the sum is 32.

The square root of 2582528 is about 1607.0245797747. The cubic root of 2582528 is about 137.1981787392.

The spelling of 2582528 in words is "two million, five hundred eighty-two thousand, five hundred twenty-eight".