2013685360 has 80 divisors (see below), whose sum is σ = 5218192800. Its totient is φ = 718184448.

The previous prime is 2013685337. The next prime is 2013685367. The reversal of 2013685360 is 635863102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 2 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013685367) 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 15 ways as a sum of consecutive naturals, for example, 13125 + ... + 64804.

It is an arithmetic number, because the mean of its divisors is an integer number (65227410).

Almost surely, 2^2013685360 is an apocalyptic number.

2013685360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013685360 is an abundant number, since it is smaller than the sum of its proper divisors (3204507440).

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

2013685360 is a wasteful number, since it uses less digits than its factorization.

2013685360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77978 (or 77972 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2013685360 is about 44874.1056735396. The cubic root of 2013685360 is about 1262.7882655156.

The spelling of 2013685360 in words is "two billion, thirteen million, six hundred eighty-five thousand, three hundred sixty".