2782656 has 42 divisors (see below), whose sum is σ = 7977632. Its totient is φ = 927360.

The previous prime is 2782649. The next prime is 2782667. The reversal of 2782656 is 6562872.

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

It is a d-powerful number, because it can be written as 2⁷ + 7⁷ + 8⁶ + 2¹⁴ + 6³ + 5⁴ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 2782656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1840 + ... + 2991.

2^2782656 is an apocalyptic number.

It is an amenable number.

2782656 is an abundant number, since it is smaller than the sum of its proper divisors (5194976).

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

2782656 is a wasteful number, since it uses less digits than its factorization.

2782656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849 (or 4836 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2782656 is about 1668.1294913765. The cubic root of 2782656 is about 140.6543517991.

Subtracting from 2782656 its product of digits (40320), we obtain a square (2742336 = 1656²).

The spelling of 2782656 in words is "two million, seven hundred eighty-two thousand, six hundred fifty-six".