2011012992 has 96 divisors (see below), whose sum is σ = 5921624280. Its totient is φ = 654732288.

The previous prime is 2011012987. The next prime is 2011013023. The reversal of 2011012992 is 2992101102.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 29238 + ... + 69834.

Almost surely, 2^2011012992 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 2011012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960812140).

2011012992 is an abundant number, since it is smaller than the sum of its proper divisors (3910611288).

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

2011012992 is a wasteful number, since it uses less digits than its factorization.

2011012992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40660 (or 40645 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 2011012992 is about 44844.3195064882. The cubic root of 2011012992 is about 1262.2294014962.

The spelling of 2011012992 in words is "two billion, eleven million, twelve thousand, nine hundred ninety-two".