2808313200 has 720 divisors, whose sum is σ = 12597249280. Its totient is φ = 581644800.

The previous prime is 2808313199. The next prime is 2808313201. The reversal of 2808313200 is 23138082.

It is an interprime number because it is at equal distance from previous prime (2808313199) and next prime (2808313201).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2808313201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9147447 + ... + 9147753.

Almost surely, 2^2808313200 is an apocalyptic number.

2808313200 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 2808313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298624640).

2808313200 is an abundant number, since it is smaller than the sum of its proper divisors (9788936080).

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

2808313200 is a wasteful number, since it uses less digits than its factorization.

2808313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2808313200 is about 52993.5203586250. The cubic root of 2808313200 is about 1410.8532635331.

The spelling of 2808313200 in words is "two billion, eight hundred eight million, three hundred thirteen thousand, two hundred".