2808842800 has 120 divisors (see below), whose sum is σ = 7108786080. Its totient is φ = 1064448000.

The previous prime is 2808842791. The next prime is 2808842831. The reversal of 2808842800 is 82488082.

It is a happy number.

It is a super-2 number, since 2×2808842800² = 15779195750223680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1001400 + ... + 1004200.

It is an arithmetic number, because the mean of its divisors is an integer number (59239884).

Almost surely, 2^2808842800 is an apocalyptic number.

2808842800 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 2808842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554393040).

2808842800 is an abundant number, since it is smaller than the sum of its proper divisors (4299943280).

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

2808842800 is a wasteful number, since it uses less digits than its factorization.

2808842800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 2808842800 is about 52998.5169603830. The cubic root of 2808842800 is about 1410.9419455843.

The spelling of 2808842800 in words is "two billion, eight hundred eight million, eight hundred forty-two thousand, eight hundred".