2013345664 has 64 divisors (see below), whose sum is σ = 4565911680. Its totient is φ = 875353600.

The previous prime is 2013345643. The next prime is 2013345673. The reversal of 2013345664 is 4665433102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 1299 + ... + 63469.

It is an arithmetic number, because the mean of its divisors is an integer number (71342370).

Almost surely, 2^2013345664 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 2013345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282955840).

2013345664 is an abundant number, since it is smaller than the sum of its proper divisors (2552566016).

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

2013345664 is a wasteful number, since it uses less digits than its factorization.

2013345664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62219 (or 62207 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 2013345664 is about 44870.3205248191. The cubic root of 2013345664 is about 1262.7172533879.

Adding to 2013345664 its reverse (4665433102), we get a palindrome (6678778766).

The spelling of 2013345664 in words is "two billion, thirteen million, three hundred forty-five thousand, six hundred sixty-four".