2280880 has 40 divisors (see below), whose sum is σ = 6062112. Its totient is φ = 781824.

The previous prime is 2280869. The next prime is 2280899. The reversal of 2280880 is 880822.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1477 + ... + 2596.

2^2280880 is an apocalyptic number.

2280880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2280880 is an abundant number, since it is smaller than the sum of its proper divisors (3781232).

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

2280880 is a wasteful number, since it uses less digits than its factorization.

2280880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 2280880 is about 1510.2582560609. The cubic root of 2280880 is about 131.6338182935.

It can be divided in two parts, 2280 and 880, that added together give a triangular number (3160 = T₇₉).

The spelling of 2280880 in words is "two million, two hundred eighty thousand, eight hundred eighty".