2000648832000 has 1056 divisors, whose sum is σ = 8337937345920. Its totient is φ = 422063308800.

The previous prime is 2000648831999. The next prime is 2000648832001. The reversal of 2000648832000 is 2388460002.

It is an interprime number because it is at equal distance from previous prime (2000648831999) and next prime (2000648832001).

It is not an unprimeable number, because it can be changed into a prime (2000648832001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244603911 + ... + 244612089.

Almost surely, 2^{2000648832000} is an apocalyptic number.

2000648832000 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 2000648832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168968672960).

2000648832000 is an abundant number, since it is smaller than the sum of its proper divisors (6337288513920).

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

2000648832000 is a wasteful number, since it uses less digits than its factorization.

2000648832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 2000648832000 in words is "two trillion, six hundred forty-eight million, eight hundred thirty-two thousand".