2779056 has 80 divisors (see below), whose sum is σ = 9126400. Its totient is φ = 793152.

The previous prime is 2779031. The next prime is 2779061. The reversal of 2779056 is 6509772.

2779056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2779056² = 15446304502272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2779056.

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 15 ways as a sum of consecutive naturals, for example, 2565 + ... + 3483.

It is an arithmetic number, because the mean of its divisors is an integer number (114080).

2^2779056 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 2779056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563200).

2779056 is an abundant number, since it is smaller than the sum of its proper divisors (6347344).

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

2779056 is a wasteful number, since it uses less digits than its factorization.

2779056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 2779056 is about 1667.0500892295. The cubic root of 2779056 is about 140.5936694647.

The spelling of 2779056 in words is "two million, seven hundred seventy-nine thousand, fifty-six".