2824880 has 20 divisors (see below), whose sum is σ = 6568032. Its totient is φ = 1129920.

The previous prime is 2824879. The next prime is 2824889. The reversal of 2824880 is 884282.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2824889) 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, 17576 + ... + 17735.

2^2824880 is an apocalyptic number.

2824880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2824880 is an abundant number, since it is smaller than the sum of its proper divisors (3743152).

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

2824880 is a wasteful number, since it uses less digits than its factorization.

2824880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35324 (or 35318 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 2824880 is about 1680.7379331710. The cubic root of 2824880 is about 141.3622127607.

The spelling of 2824880 in words is "two million, eight hundred twenty-four thousand, eight hundred eighty".