2814368 has 24 divisors (see below), whose sum is σ = 5692932. Its totient is φ = 1368576.

The previous prime is 2814347. The next prime is 2814389. The reversal of 2814368 is 8634182.

2814368 is nontrivially palindromic in base 9.

2814368 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2814347) and next prime (2814389).

It can be written as a sum of positive squares in 2 ways, for example, as 2729104 + 85264 = 1652^2 + 292^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 2372.

2^2814368 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 2814368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846466).

2814368 is an abundant number, since it is smaller than the sum of its proper divisors (2878564).

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

2814368 is a wasteful number, since it uses less digits than its factorization.

2814368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2416 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 2814368 is about 1677.6078206780. The cubic root of 2814368 is about 141.1866481769.

The spelling of 2814368 in words is "two million, eight hundred fourteen thousand, three hundred sixty-eight".