2001942189600 has 288 divisors, whose sum is σ = 6882742601280. Its totient is φ = 504024330240.

The previous prime is 2001942189593. The next prime is 2001942189623. The reversal of 2001942189600 is 69812491002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13285882 + ... + 13435718.

It is an arithmetic number, because the mean of its divisors is an integer number (23898411810).

Almost surely, 2^{2001942189600} is an apocalyptic number.

2001942189600 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 2001942189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441371300640).

2001942189600 is an abundant number, since it is smaller than the sum of its proper divisors (4880800411680).

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

2001942189600 is a wasteful number, since it uses less digits than its factorization.

2001942189600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150172 (or 150159 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 2001942189600 in words is "two trillion, one billion, nine hundred forty-two million, one hundred eighty-nine thousand, six hundred".