2786368 has 56 divisors (see below), whose sum is σ = 6336792. Its totient is φ = 1204224.

The previous prime is 2786363. The next prime is 2786383. The reversal of 2786368 is 8636872.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 1721344 = 1032^2 + 1312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2786368.

It is not an unprimeable number, because it can be changed into a prime (2786363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14046 + ... + 14242.

It is an arithmetic number, because the mean of its divisors is an integer number (113157).

2^2786368 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 2786368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168396).

2786368 is an abundant number, since it is smaller than the sum of its proper divisors (3550424).

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

2786368 is a wasteful number, since it uses less digits than its factorization.

2786368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 2786368 is about 1669.2417440263. The cubic root of 2786368 is about 140.7168672478.

Subtracting from 2786368 its product of digits (96768), we obtain a square (2689600 = 1640²).

The spelling of 2786368 in words is "two million, seven hundred eighty-six thousand, three hundred sixty-eight".