2001641730 has 128 divisors (see below), whose sum is σ = 5399654400. Its totient is φ = 470668800.

The previous prime is 2001641711. The next prime is 2001641767. The reversal of 2001641730 is 371461002.

It is a self number, because there is not a number n which added to its sum of digits gives 2001641730.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3233361 + ... + 3233979.

It is an arithmetic number, because the mean of its divisors is an integer number (42184800).

Almost surely, 2^2001641730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001641730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699827200).

2001641730 is an abundant number, since it is smaller than the sum of its proper divisors (3398012670).

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

2001641730 is a wasteful number, since it uses less digits than its factorization.

2001641730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2001641730 is about 44739.7108841798. The cubic root of 2001641730 is about 1260.2656973066.

The spelling of 2001641730 in words is "two billion, one million, six hundred forty-one thousand, seven hundred thirty".