2001111000 has 192 divisors, whose sum is σ = 7263341280. Its totient is φ = 457363200.

The previous prime is 2001110999. The next prime is 2001111017. The reversal of 2001111000 is 1111002.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2001111000.

It is a congruent number.

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, 140194 + ... + 153806.

Almost surely, 2^2001111000 is an apocalyptic number.

2001111000 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 2001111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631670640).

2001111000 is an abundant number, since it is smaller than the sum of its proper divisors (5262230280).

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

2001111000 is a wasteful number, since it uses less digits than its factorization.

2001111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13651 (or 13630 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 2001111000 is about 44733.7791830737. The cubic root of 2001111000 is about 1260.1543020907.

Adding to 2001111000 its reverse (1111002), we get a palindrome (2002222002).

The spelling of 2001111000 in words is "two billion, one million, one hundred eleven thousand".