2820804220 has 96 divisors (see below), whose sum is σ = 7110331200. Its totient is φ = 928641024.

The previous prime is 2820804193. The next prime is 2820804221. The reversal of 2820804220 is 224080282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820804221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67186 + ... + 100774.

It is an arithmetic number, because the mean of its divisors is an integer number (74065950).

Almost surely, 2^2820804220 is an apocalyptic number.

2820804220 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 2820804220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555165600).

2820804220 is an abundant number, since it is smaller than the sum of its proper divisors (4289526980).

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

2820804220 is a wasteful number, since it uses less digits than its factorization.

2820804220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33647 (or 33645 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 2820804220 is about 53111.2438189881. The cubic root of 2820804220 is about 1412.9419351745.

The spelling of 2820804220 in words is "two billion, eight hundred twenty million, eight hundred four thousand, two hundred twenty".