2011000008 has 64 divisors (see below), whose sum is σ = 5196280320. Its totient is φ = 647884800.

The previous prime is 2011000007. The next prime is 2011000081. The reversal of 2011000008 is 8000001102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2010999957 and 2011000002.

It is not an unprimeable number, because it can be changed into a prime (2011000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904338 + ... + 906558.

It is an arithmetic number, because the mean of its divisors is an integer number (81191880).

Almost surely, 2^2011000008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598140160).

2011000008 is an abundant number, since it is smaller than the sum of its proper divisors (3185280312).

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

2011000008 is a wasteful number, since it uses less digits than its factorization.

2011000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2011000008 is about 44844.1747387551. The cubic root of 2011000008 is about 1262.2266849843.

The spelling of 2011000008 in words is "two billion, eleven million, eight", and thus it is an aban number and an uban number.