2013704064 has 192 divisors, whose sum is σ = 6078224880. Its totient is φ = 663552000.

The previous prime is 2013704039. The next prime is 2013704089. The reversal of 2013704064 is 4604073102.

It is an interprime number because it is at equal distance from previous prime (2013704039) and next prime (2013704089).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3141184 + ... + 3141824.

Almost surely, 2^2013704064 is an apocalyptic number.

2013704064 is a gapful number since it is divisible by the number (24) 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 2013704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039112440).

2013704064 is an abundant number, since it is smaller than the sum of its proper divisors (4064520816).

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

2013704064 is an equidigital number, since it uses as much as digits as its factorization.

2013704064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2013704064 is about 44874.3140783232. The cubic root of 2013704064 is about 1262.7921752821.

Adding to 2013704064 its reverse (4604073102), we get a palindrome (6617777166).

The spelling of 2013704064 in words is "two billion, thirteen million, seven hundred four thousand, sixty-four".