2013835008 has 72 divisors (see below), whose sum is σ = 5392955008. Its totient is φ = 667118592.

The previous prime is 2013835003. The next prime is 2013835009. The reversal of 2013835008 is 8005383102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013835003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117141 + ... + 133227.

Almost surely, 2^2013835008 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 2013835008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696477504).

2013835008 is an abundant number, since it is smaller than the sum of its proper divisors (3379120000).

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

2013835008 is a wasteful number, since it uses less digits than its factorization.

2013835008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16269 (or 16255 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2013835008 is about 44875.7730629791. The cubic root of 2013835008 is about 1262.8195463140.

The spelling of 2013835008 in words is "two billion, thirteen million, eight hundred thirty-five thousand, eight".