2824120 has 32 divisors (see below), whose sum is σ = 6844320. Its totient is φ = 1042560.

The previous prime is 2824109. The next prime is 2824123. The reversal of 2824120 is 214282.

2824120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2824120⁴ (a number of 27 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2824123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2196 + ... + 3235.

It is an arithmetic number, because the mean of its divisors is an integer number (213885).

2^2824120 is an apocalyptic number.

2824120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2824120 is an abundant number, since it is smaller than the sum of its proper divisors (4020200).

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

2824120 is a wasteful number, since it uses less digits than its factorization.

2824120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5455 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2824120 is about 1680.5118267956. The cubic root of 2824120 is about 141.3495343558.

The spelling of 2824120 in words is "two million, eight hundred twenty-four thousand, one hundred twenty".