2820024 has 48 divisors (see below), whose sum is σ = 7792200. Its totient is φ = 921024.

The previous prime is 2820019. The next prime is 2820031. The reversal of 2820024 is 4200282.

2820024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2819979 and 2820006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3447 + ... + 4185.

2^2820024 is an apocalyptic number.

2820024 is a gapful number since it is divisible by the number (24) 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 2820024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896100).

2820024 is an abundant number, since it is smaller than the sum of its proper divisors (4972176).

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

2820024 is a wasteful number, since it uses less digits than its factorization.

2820024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2820024 is about 1679.2927082555. The cubic root of 2820024 is about 141.2811652328.

It can be divided in two parts, 28200 and 24, that added together give a square (28224 = 168²).

The spelling of 2820024 in words is "two million, eight hundred twenty thousand, twenty-four".