2882304000 has 480 divisors, whose sum is σ = 10821610800. Its totient is φ = 763084800.

The previous prime is 2882303993. The next prime is 2882304011. The reversal of 2882304000 is 4032882.

2882304000 is a `hidden beast` number, since 28 + 8 + 230 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 20735931 + ... + 20736069.

Almost surely, 2^2882304000 is an apocalyptic number.

2882304000 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 2882304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410805400).

2882304000 is an abundant number, since it is smaller than the sum of its proper divisors (7939306800).

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

2882304000 is an equidigital number, since it uses as much as digits as its factorization.

2882304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2882304000 is about 53687.0934210449. The cubic root of 2882304000 is about 1423.1366226196.

Adding to 2882304000 its reverse (4032882), we get a palindrome (2886336882).

It can be divided in two parts, 288230 and 4000, that added together give a triangular number (292230 = T₇₆₄).

The spelling of 2882304000 in words is "two billion, eight hundred eighty-two million, three hundred four thousand".