2001043606146 has 128 divisors (see below), whose sum is σ = 4570145018880. Its totient is φ = 579019062528.

The previous prime is 2001043606141. The next prime is 2001043606147. The reversal of 2001043606146 is 6416063401002.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2001043606141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219095796 + ... + 219104928.

It is an arithmetic number, because the mean of its divisors is an integer number (35704257960).

Almost surely, 2^{2001043606146} is an apocalyptic number.

2001043606146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001043606146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285072509440).

2001043606146 is an abundant number, since it is smaller than the sum of its proper divisors (2569101412734).

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

2001043606146 is a wasteful number, since it uses less digits than its factorization.

2001043606146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10240.

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 2001043606146 in words is "two trillion, one billion, forty-three million, six hundred six thousand, one hundred forty-six".