2814384 has 40 divisors (see below), whose sum is σ = 7700400. Its totient is φ = 882688.

The previous prime is 2814347. The next prime is 2814389. The reversal of 2814384 is 4834182.

2814384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2814389) 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 7 ways as a sum of consecutive naturals, for example, 909 + ... + 2540.

It is an arithmetic number, because the mean of its divisors is an integer number (192510).

2^2814384 is an apocalyptic number.

2814384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2814384 is an abundant number, since it is smaller than the sum of its proper divisors (4886016).

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

2814384 is a wasteful number, since it uses less digits than its factorization.

2814384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3471 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 2814384 is about 1677.6125893662. The cubic root of 2814384 is about 141.1869157305.

The spelling of 2814384 in words is "two million, eight hundred fourteen thousand, three hundred eighty-four".