2013678016 has 168 divisors, whose sum is σ = 4930704896. Its totient is φ = 799027200.

The previous prime is 2013677989. The next prime is 2013678019. The reversal of 2013678016 is 6108763102.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013678019) 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 23 ways as a sum of consecutive naturals, for example, 13335541 + ... + 13335691.

Almost surely, 2^2013678016 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 2013678016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465352448).

2013678016 is an abundant number, since it is smaller than the sum of its proper divisors (2917026880).

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

2013678016 is a wasteful number, since it uses less digits than its factorization.

2013678016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2013678016 is about 44874.0238445362. The cubic root of 2013678016 is about 1262.7867303655.

The spelling of 2013678016 in words is "two billion, thirteen million, six hundred seventy-eight thousand, sixteen".