2786112 has 84 divisors (see below), whose sum is σ = 9139936. Its totient is φ = 794880.

The previous prime is 2786089. The next prime is 2786129. The reversal of 2786112 is 2116872.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3687 + ... + 4377.

2^2786112 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 2786112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569968).

2786112 is an abundant number, since it is smaller than the sum of its proper divisors (6353824).

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

2786112 is a wasteful number, since it uses less digits than its factorization.

2786112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 703 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 2786112 is about 1669.1650607414. The cubic root of 2786112 is about 140.7125576207.

The spelling of 2786112 in words is "two million, seven hundred eighty-six thousand, one hundred twelve".