2001086000 has 80 divisors (see below), whose sum is σ = 4851320448. Its totient is φ = 798336000.

The previous prime is 2001085981. The next prime is 2001086011. The reversal of 2001086000 is 6801002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2001086000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924920 + ... + 927080.

Almost surely, 2^2001086000 is an apocalyptic number.

2001086000 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 2001086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425660224).

2001086000 is an abundant number, since it is smaller than the sum of its proper divisors (2850234448).

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

2001086000 is a wasteful number, since it uses less digits than its factorization.

2001086000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2001086000 is about 44733.4997513049. The cubic root of 2001086000 is about 1260.1490543411.

Adding to 2001086000 its reverse (6801002), we get a palindrome (2007887002).

The spelling of 2001086000 in words is "two billion, one million, eighty-six thousand".