2585536 has 28 divisors (see below), whose sum is σ = 5212080. Its totient is φ = 1272320.

The previous prime is 2585521. The next prime is 2585549. The reversal of 2585536 is 6355852.

It is a happy number.

2585536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2⁵ + 5⁶ + 8⁶ + 5⁶ + 5⁹ + 3¹⁰ + 6⁷ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4260 + ... + 4828.

2^2585536 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 2585536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606040).

2585536 is an abundant number, since it is smaller than the sum of its proper divisors (2626544).

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

2585536 is an equidigital number, since it uses as much as digits as its factorization.

2585536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

The square root of 2585536 is about 1607.9601985124. The cubic root of 2585536 is about 137.2514252735.

The spelling of 2585536 in words is "two million, five hundred eighty-five thousand, five hundred thirty-six".