2011002912 has 216 divisors, whose sum is σ = 6099993900. Its totient is φ = 627637248.

The previous prime is 2011002859. The next prime is 2011002919. The reversal of 2011002912 is 2192001102.

It can be written as a sum of positive squares in 2 ways, for example, as 1985237136 + 25765776 = 44556^2 + 5076^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2011002919) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 18449514 + ... + 18449622.

Almost surely, 2^2011002912 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 2011002912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049996950).

2011002912 is an abundant number, since it is smaller than the sum of its proper divisors (4088990988).

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

2011002912 is a wasteful number, since it uses less digits than its factorization.

2011002912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2011002912 is about 44844.2071175308. The cubic root of 2011002912 is about 1262.2272925601.

The spelling of 2011002912 in words is "two billion, eleven million, two thousand, nine hundred twelve".