2013903360 has 240 divisors, whose sum is σ = 7971739776. Its totient is φ = 460283904.

The previous prime is 2013903343. The next prime is 2013903361. The reversal of 2013903360 is 633093102.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (2013903361) 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 23 ways as a sum of consecutive naturals, for example, 155037 + ... + 167523.

Almost surely, 2^2013903360 is an apocalyptic number.

2013903360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985869888).

2013903360 is an abundant number, since it is smaller than the sum of its proper divisors (5957836416).

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

2013903360 is a wasteful number, since it uses less digits than its factorization.

2013903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12523 (or 12504 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 2013903360 is about 44876.5346255702. The cubic root of 2013903360 is about 1262.8338333608.

Adding to 2013903360 its reverse (633093102), we get a palindrome (2646996462).

The spelling of 2013903360 in words is "two billion, thirteen million, nine hundred three thousand, three hundred sixty".