2820832 has 48 divisors (see below), whose sum is σ = 6501600. Its totient is φ = 1204224.

The previous prime is 2820821. The next prime is 2820833. The reversal of 2820832 is 2380282.

It is a junction number, because it is equal to n+sod(n) for n = 2820797 and 2820806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820833) 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, 10848 + ... + 11104.

It is an arithmetic number, because the mean of its divisors is an integer number (135450).

2^2820832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250800).

2820832 is an abundant number, since it is smaller than the sum of its proper divisors (3680768).

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

2820832 is an equidigital number, since it uses as much as digits as its factorization.

2820832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2820832 is about 1679.5332685005. The cubic root of 2820832 is about 141.2946573497.

The spelling of 2820832 in words is "two million, eight hundred twenty thousand, eight hundred thirty-two".