2001071952000 has 1536 divisors, whose sum is σ = 8257029580800. Its totient is φ = 477550080000.

The previous prime is 2001071951971. The next prime is 2001071952007. The reversal of 2001071952000 is 2591701002.

2001071952000 is a `hidden beast` number, since 20 + 0 + 107 + 19 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2001071952007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3036527671 + ... + 3036528329.

It is an arithmetic number, because the mean of its divisors is an integer number (5375670300).

Almost surely, 2^{2001071952000} is an apocalyptic number.

2001071952000 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 2001071952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128514790400).

2001071952000 is an abundant number, since it is smaller than the sum of its proper divisors (6255957628800).

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

2001071952000 is an equidigital number, since it uses as much as digits as its factorization.

2001071952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 2001071952000 in words is "two trillion, one billion, seventy-one million, nine hundred fifty-two thousand".