2314880 has 32 divisors (see below), whose sum is σ = 5535540. Its totient is φ = 925696.

The previous prime is 2314877. The next prime is 2314883. The reversal of 2314880 is 884132.

It is an interprime number because it is at equal distance from previous prime (2314877) and next prime (2314883).

It can be written as a sum of positive squares in 2 ways, for example, as 1915456 + 399424 = 1384^2 + 632^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2314883) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1169 + ... + 2448.

2^2314880 is an apocalyptic number.

2314880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314880 is an abundant number, since it is smaller than the sum of its proper divisors (3220660).

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

2314880 is an equidigital number, since it uses as much as digits as its factorization.

2314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2314880 is about 1521.4729705125. The cubic root of 2314880 is about 132.2846626861.

The spelling of 2314880 in words is "two million, three hundred fourteen thousand, eight hundred eighty".