2586 has 8 divisors (see below), whose sum is σ = 5184. Its totient is φ = 860.

The previous prime is 2579. The next prime is 2591. The reversal of 2586 is 6852.

It is a happy number.

2586 is nontrivially palindromic in base 16.

2586 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

2586 is an admirable number.

2586 is an undulating number in base 16.

2586 is strictly pandigital in base 5.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is an unprimeable number.

2586 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 210 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (648).

2²⁵⁸⁶ is an apocalyptic number.

2586 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592).

2586 is a wasteful number, since it uses less digits than its factorization.

2586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436.

The product of its digits is 480, while the sum is 21.

The square root of 2586 is about 50.8527285404. The cubic root of 2586 is about 13.7259635158.

It can be divided in two parts, 25 and 86, that added together give a palindrome (111).

The spelling of 2586 in words is "two thousand, five hundred eighty-six".