2586496 has 48 divisors (see below), whose sum is σ = 5697720. Its totient is φ = 1168640.

The previous prime is 2586443. The next prime is 2586497. The reversal of 2586496 is 6946852.

It is a happy number.

2586496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (103680) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2586497) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 15405 + ... + 15571.

2^2586496 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 2586496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848860).

2586496 is an abundant number, since it is smaller than the sum of its proper divisors (3111224).

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

2586496 is a wasteful number, since it uses less digits than its factorization.

2586496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 2586496 is about 1608.2586856597. The cubic root of 2586496 is about 137.2684101546.

The spelling of 2586496 in words is "two million, five hundred eighty-six thousand, four hundred ninety-six".