2579856 has 40 divisors (see below), whose sum is σ = 6767424. Its totient is φ = 846720.

The previous prime is 2579827. The next prime is 2579891. The reversal of 2579856 is 6589752.

2579856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2579856 is a nontrivial binomial coefficient, being equal to C(2272, 2).

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 7 ways as a sum of consecutive naturals, for example, 3030 + ... + 3786.

2^2579856 is an apocalyptic number.

2579856 is the 2271-st triangular number and also the 1136-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2579856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383712).

2579856 is an abundant number, since it is smaller than the sum of its proper divisors (4187568).

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

2579856 is a wasteful number, since it uses less digits than its factorization.

2579856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 833 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 2579856 is about 1606.1930145534. The cubic root of 2579856 is about 137.1508452688.

The spelling of 2579856 in words is "two million, five hundred seventy-nine thousand, eight hundred fifty-six".