2993984000 has 320 divisors, whose sum is σ = 8793937152. Its totient is φ = 995328000.

The previous prime is 2993983981. The next prime is 2993984003. The reversal of 2993984000 is 4893992.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (2993984003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18367919 + ... + 18368081.

Almost surely, 2^2993984000 is an apocalyptic number.

2993984000 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 2993984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396968576).

2993984000 is an abundant number, since it is smaller than the sum of its proper divisors (5799953152).

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

2993984000 is an equidigital number, since it uses as much as digits as its factorization.

2993984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 2993984000 is about 54717.3098753950. The cubic root of 2993984000 is about 1441.2848614527.

The spelling of 2993984000 in words is "two billion, nine hundred ninety-three million, nine hundred eighty-four thousand".