2278880 has 24 divisors (see below), whose sum is σ = 5384232. Its totient is φ = 911488.

The previous prime is 2278877. The next prime is 2278891. The reversal of 2278880 is 888722.

It is a self number, because there is not a number n which added to its sum of digits gives 2278880.

It is a congruent number.

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, 6962 + ... + 7281.

It is an arithmetic number, because the mean of its divisors is an integer number (224343).

2^2278880 is an apocalyptic number.

2278880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2278880 is an abundant number, since it is smaller than the sum of its proper divisors (3105352).

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

2278880 is a wasteful number, since it uses less digits than its factorization.

2278880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14258 (or 14250 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 2278880 is about 1509.5959724377. The cubic root of 2278880 is about 131.5953324718.

The spelling of 2278880 in words is "two million, two hundred seventy-eight thousand, eight hundred eighty".