2013014304 has 144 divisors (see below), whose sum is σ = 6719364288. Its totient is φ = 559581696.

The previous prime is 2013014293. The next prime is 2013014327. The reversal of 2013014304 is 4034103102.

2013014304 is a `hidden beast` number, since 201 + 30 + 1 + 430 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61099 + ... + 88085.

It is an arithmetic number, because the mean of its divisors is an integer number (46662252).

Almost surely, 2^2013014304 is an apocalyptic number.

2013014304 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 2013014304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359682144).

2013014304 is an abundant number, since it is smaller than the sum of its proper divisors (4706349984).

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

2013014304 is a wasteful number, since it uses less digits than its factorization.

2013014304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27047 (or 27036 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2013014304 is about 44866.6279544162. The cubic root of 2013014304 is about 1262.6479761722.

Adding to 2013014304 its reverse (4034103102), we get a palindrome (6047117406).

The spelling of 2013014304 in words is "two billion, thirteen million, fourteen thousand, three hundred four".