2808788400 has 720 divisors, whose sum is σ = 11484764928. Its totient is φ = 653184000.

The previous prime is 2808788393. The next prime is 2808788401. The reversal of 2808788400 is 48878082.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (2808788401) 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, 39560365 + ... + 39560435.

Almost surely, 2^2808788400 is an apocalyptic number.

2808788400 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 2808788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742382464).

2808788400 is an abundant number, since it is smaller than the sum of its proper divisors (8675976528).

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

2808788400 is a wasteful number, since it uses less digits than its factorization.

2808788400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 2808788400 is about 52998.0037359899. The cubic root of 2808788400 is about 1410.9328367634.

The spelling of 2808788400 in words is "two billion, eight hundred eight million, seven hundred eighty-eight thousand, four hundred".