2013268992 has 176 divisors, whose sum is σ = 6173620992. Its totient is φ = 571392000.

The previous prime is 2013268981. The next prime is 2013268993. The reversal of 2013268992 is 2998623102.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2013268993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5397318 + ... + 5397690.

It is an arithmetic number, because the mean of its divisors is an integer number (35077392).

Almost surely, 2^2013268992 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 2013268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086810496).

2013268992 is an abundant number, since it is smaller than the sum of its proper divisors (4160352000).

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

2013268992 is a wasteful number, since it uses less digits than its factorization.

2013268992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 2013268992 is about 44869.4661434700. The cubic root of 2013268992 is about 1262.7012242996.

The spelling of 2013268992 in words is "two billion, thirteen million, two hundred sixty-eight thousand, nine hundred ninety-two".