2514384 has 60 divisors (see below), whose sum is σ = 7415200. Its totient is φ = 793152.

The previous prime is 2514377. The next prime is 2514389. The reversal of 2514384 is 4834152.

2514384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2514389) 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, 2277 + ... + 3195.

2^2514384 is an apocalyptic number.

2514384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2514384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707600).

2514384 is an abundant number, since it is smaller than the sum of its proper divisors (4900816).

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

2514384 is a wasteful number, since it uses less digits than its factorization.

2514384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 943 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2514384 is about 1585.6809262900. The cubic root of 2514384 is about 135.9806777624.

The spelling of 2514384 in words is "two million, five hundred fourteen thousand, three hundred eighty-four".