2008849084320 has 384 divisors, whose sum is σ = 7096404349440. Its totient is φ = 474266419200.

The previous prime is 2008849084301. The next prime is 2008849084331. The reversal of 2008849084320 is 234809488002.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2008849084320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27288202 + ... + 27361718.

It is an arithmetic number, because the mean of its divisors is an integer number (18480219660).

Almost surely, 2^{2008849084320} is an apocalyptic number.

2008849084320 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 2008849084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548202174720).

2008849084320 is an abundant number, since it is smaller than the sum of its proper divisors (5087555265120).

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

2008849084320 is a wasteful number, since it uses less digits than its factorization.

2008849084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73728 (or 73720 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 2008849084320 in words is "two trillion, eight billion, eight hundred forty-nine million, eighty-four thousand, three hundred twenty".