2001971649996 has 96 divisors (see below), whose sum is σ = 5427271987200. Its totient is φ = 636976834560.

The previous prime is 2001971649971. The next prime is 2001971650001. The reversal of 2001971649996 is 6999461791002.

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 31 ways as a sum of consecutive naturals, for example, 348556 + ... + 2031116.

It is an arithmetic number, because the mean of its divisors is an integer number (56534083200).

Almost surely, 2^{2001971649996} 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 2001971649996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713635993600).

2001971649996 is an abundant number, since it is smaller than the sum of its proper divisors (3425300337204).

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

2001971649996 is a wasteful number, since it uses less digits than its factorization.

2001971649996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683076 (or 1683068 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 2001971649996 in words is "two trillion, one billion, nine hundred seventy-one million, six hundred forty-nine thousand, nine hundred ninety-six".