2816880 has 120 divisors (see below), whose sum is σ = 9697296. Its totient is φ = 675840.

The previous prime is 2816873. The next prime is 2816899. The reversal of 2816880 is 886182.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28992 + ... + 29088.

2^2816880 is an apocalyptic number.

2816880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2816880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848648).

2816880 is an abundant number, since it is smaller than the sum of its proper divisors (6880416).

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

2816880 is a wasteful number, since it uses less digits than its factorization.

2816880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 2816880 is about 1678.3563388029. The cubic root of 2816880 is about 141.2286416658.

The spelling of 2816880 in words is "two million, eight hundred sixteen thousand, eight hundred eighty".