2011999968 has 144 divisors (see below), whose sum is σ = 6280799616. Its totient is φ = 605886720.

The previous prime is 2011999933. The next prime is 2011999991. The reversal of 2011999968 is 8699991102.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 527155 + ... + 530957.

It is an arithmetic number, because the mean of its divisors is an integer number (43616664).

Almost surely, 2^2011999968 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 2011999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140399808).

2011999968 is an abundant number, since it is smaller than the sum of its proper divisors (4268799648).

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

2011999968 is a wasteful number, since it uses less digits than its factorization.

2011999968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The square root of 2011999968 is about 44855.3226273092. The cubic root of 2011999968 is about 1262.4358623497.

The spelling of 2011999968 in words is "two billion, eleven million, nine hundred ninety-nine thousand, nine hundred sixty-eight".