2914880 has 28 divisors (see below), whose sum is σ = 6941820. Its totient is φ = 1165824.

The previous prime is 2914867. The next prime is 2914883. The reversal of 2914880 is 884192.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 652864 + 2262016 = 808^2 + 1504^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2914883) 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, 4235 + ... + 4874.

2^2914880 is an apocalyptic number.

2914880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2914880 is an abundant number, since it is smaller than the sum of its proper divisors (4026940).

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

2914880 is an equidigital number, since it uses as much as digits as its factorization.

2914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9126 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 2914880 is about 1707.3019650899. The cubic root of 2914880 is about 142.8478012939.

The spelling of 2914880 in words is "two million, nine hundred fourteen thousand, eight hundred eighty".