2814912 has 84 divisors (see below), whose sum is σ = 8413496. Its totient is φ = 933120.

The previous prime is 2814899. The next prime is 2814913. The reversal of 2814912 is 2194182.

2814912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2814913) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15462 + ... + 15642.

2^2814912 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 2814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206748).

2814912 is an abundant number, since it is smaller than the sum of its proper divisors (5598584).

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

2814912 is an equidigital number, since it uses as much as digits as its factorization.

2814912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2814912 is about 1677.7699484733. The cubic root of 2814912 is about 141.1957444274.

The spelling of 2814912 in words is "two million, eight hundred fourteen thousand, nine hundred twelve".