2788960 has 24 divisors (see below), whose sum is σ = 6589296. Its totient is φ = 1115520.

The previous prime is 2788939. The next prime is 2788979. The reversal of 2788960 is 698872.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 8556 + ... + 8875.

It is an arithmetic number, because the mean of its divisors is an integer number (274554).

2^2788960 is an apocalyptic number.

2788960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2788960 is an abundant number, since it is smaller than the sum of its proper divisors (3800336).

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

2788960 is a wasteful number, since it uses less digits than its factorization.

2788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17446 (or 17438 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 2788960 is about 1670.0179639752. The cubic root of 2788960 is about 140.7604873630.

The spelling of 2788960 in words is "two million, seven hundred eighty-eight thousand, nine hundred sixty".