2012020768 has 48 divisors (see below), whose sum is σ = 4043413080. Its totient is φ = 985194496.

The previous prime is 2012020763. The next prime is 2012020781. The reversal of 2012020768 is 8670202102.

It can be written as a sum of positive squares in 4 ways, for example, as 1512587664 + 499433104 = 38892^2 + 22348^2 .

It is not an unprimeable number, because it can be changed into a prime (2012020763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1574946 + ... + 1576222.

Almost surely, 2^2012020768 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 2012020768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021706540).

2012020768 is an abundant number, since it is smaller than the sum of its proper divisors (2031392312).

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

2012020768 is a wasteful number, since it uses less digits than its factorization.

2012020768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2012020768 is about 44855.5544832521. The cubic root of 2012020768 is about 1262.4402126770.

The spelling of 2012020768 in words is "two billion, twelve million, twenty thousand, seven hundred sixty-eight".