2013414320 has 80 divisors (see below), whose sum is σ = 4915265760. Its totient is φ = 765929472.

The previous prime is 2013414317. The next prime is 2013414323. The reversal of 2013414320 is 234143102.

It is an interprime number because it is at equal distance from previous prime (2013414317) and next prime (2013414323).

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 2013414292 and 2013414301.

It is not an unprimeable number, because it can be changed into a prime (2013414323) 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 15 ways as a sum of consecutive naturals, for example, 148964 + ... + 161916.

It is an arithmetic number, because the mean of its divisors is an integer number (61440822).

Almost surely, 2^2013414320 is an apocalyptic number.

2013414320 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 2013414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457632880).

2013414320 is an abundant number, since it is smaller than the sum of its proper divisors (2901851440).

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

2013414320 is a wasteful number, since it uses less digits than its factorization.

2013414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13062 (or 13056 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2013414320 is about 44871.0855674342. The cubic root of 2013414320 is about 1262.7316063017.

Adding to 2013414320 its reverse (234143102), we get a palindrome (2247557422).

The spelling of 2013414320 in words is "two billion, thirteen million, four hundred fourteen thousand, three hundred twenty".