2008300327200 has 216 divisors, whose sum is σ = 7344057481488. Its totient is φ = 535546702080.

The previous prime is 2008300327141. The next prime is 2008300327289. The reversal of 2008300327200 is 27230038002.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4970982 + ... + 5359781.

It is an arithmetic number, because the mean of its divisors is an integer number (34000266118).

Almost surely, 2^{2008300327200} is an apocalyptic number.

2008300327200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008300327200 is an abundant number, since it is smaller than the sum of its proper divisors (5335757154288).

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

2008300327200 is a wasteful number, since it uses less digits than its factorization.

2008300327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10330798 (or 10330773 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 2008300327200 in words is "two trillion, eight billion, three hundred million, three hundred twenty-seven thousand, two hundred".