2824080 has 120 divisors (see below), whose sum is σ = 10255296. Its totient is φ = 629760.

The previous prime is 2824079. The next prime is 2824097. The reversal of 2824080 is 804282.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2824080.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68860 + ... + 68900.

2^2824080 is an apocalyptic number.

2824080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 1680×1681.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2824080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127648).

2824080 is an abundant number, since it is smaller than the sum of its proper divisors (7431216).

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

2824080 is a wasteful number, since it uses less digits than its factorization.

2824080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2824080 is about 1680.4999256174. The cubic root of 2824080 is about 141.3488670083.

The spelling of 2824080 in words is "two million, eight hundred twenty-four thousand, eighty".