2824960 has 36 divisors (see below), whose sum is σ = 6769728. Its totient is φ = 1129472.

The previous prime is 2824933. The next prime is 2824967. The reversal of 2824960 is 694282.

2824960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2824967) 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, 177 + ... + 2383.

It is an arithmetic number, because the mean of its divisors is an integer number (188048).

2^2824960 is an apocalyptic number.

2824960 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 2824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384864).

2824960 is an abundant number, since it is smaller than the sum of its proper divisors (3944768).

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

2824960 is an equidigital number, since it uses as much as digits as its factorization.

2824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2824960 is about 1680.7617320727. The cubic root of 2824960 is about 141.3635471974.

The spelling of 2824960 in words is "two million, eight hundred twenty-four thousand, nine hundred sixty".