2013986304 has 120 divisors (see below), whose sum is σ = 6341069592. Its totient is φ = 610283520.

The previous prime is 2013986279. The next prime is 2013986341. The reversal of 2013986304 is 4036893102.

2013986304 is a `hidden beast` number, since 2 + 0 + 13 + 9 + 8 + 630 + 4 = 666.

It is a super-2 number, since 2×2013986304² = 8112281665399160832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 30822 + ... + 70554.

Almost surely, 2^2013986304 is an apocalyptic number.

2013986304 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 2013986304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170534796).

2013986304 is an abundant number, since it is smaller than the sum of its proper divisors (4327083288).

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

2013986304 is a wasteful number, since it uses less digits than its factorization.

2013986304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39768 (or 39749 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2013986304 is about 44877.4587515826. The cubic root of 2013986304 is about 1262.8511700172.

It can be divided in two parts, 201398 and 6304, that added together give a palindrome (207702).

The spelling of 2013986304 in words is "two billion, thirteen million, nine hundred eighty-six thousand, three hundred four".