2001944512512 has 576 divisors, whose sum is σ = 6999095900160. Its totient is φ = 559768485888.

The previous prime is 2001944512511. The next prime is 2001944512517. The reversal of 2001944512512 is 2152154491002.

2001944512512 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 94 + 4 + 51 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2001944512511) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 163725343 + ... + 163737569.

It is an arithmetic number, because the mean of its divisors is an integer number (12151208160).

Almost surely, 2^{2001944512512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001944512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499547950080).

2001944512512 is an abundant number, since it is smaller than the sum of its proper divisors (4997151387648).

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

2001944512512 is an equidigital number, since it uses as much as digits as its factorization.

2001944512512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12318 (or 12286 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 2001944512512 in words is "two trillion, one billion, nine hundred forty-four million, five hundred twelve thousand, five hundred twelve".