2814080 has 32 divisors (see below), whose sum is σ = 6728940. Its totient is φ = 1125376.

The previous prime is 2814041. The next prime is 2814083. The reversal of 2814080 is 804182.

It can be written as a sum of positive squares in 2 ways, for example, as 2795584 + 18496 = 1672^2 + 136^2 .

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 (2814083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1559 + ... + 2838.

2^2814080 is an apocalyptic number.

2814080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2814080 is an abundant number, since it is smaller than the sum of its proper divisors (3914860).

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

2814080 is an equidigital number, since it uses as much as digits as its factorization.

2814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 2814080 is about 1677.5219819722. The cubic root of 2814080 is about 141.1818320404.

The spelling of 2814080 in words is "two million, eight hundred fourteen thousand, eighty".