2011166000 has 80 divisors (see below), whose sum is σ = 5074550208. Its totient is φ = 769472000.

The previous prime is 2011165993. The next prime is 2011166009. The reversal of 2011166000 is 6611102.

It is a happy number.

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 2011166000.

It is not an unprimeable number, because it can be changed into a prime (2011166009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24140 + ... + 67860.

Almost surely, 2^2011166000 is an apocalyptic number.

2011166000 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 2011166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537275104).

2011166000 is an abundant number, since it is smaller than the sum of its proper divisors (3063384208).

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

2011166000 is a wasteful number, since it uses less digits than its factorization.

2011166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43767 (or 43751 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2011166000 is about 44846.0254649172. The cubic root of 2011166000 is about 1262.2614129417.

Adding to 2011166000 its reverse (6611102), we get a palindrome (2017777102).

The spelling of 2011166000 in words is "two billion, eleven million, one hundred sixty-six thousand".