2016309564 has 192 divisors, whose sum is σ = 5881344000. Its totient is φ = 594397440.

The previous prime is 2016309557. The next prime is 2016309569. The reversal of 2016309564 is 4659036102.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016309569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1844202 + ... + 1845294.

It is an arithmetic number, because the mean of its divisors is an integer number (30632000).

Almost surely, 2^2016309564 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 2016309564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940672000).

2016309564 is an abundant number, since it is smaller than the sum of its proper divisors (3865034436).

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

2016309564 is a wasteful number, since it uses less digits than its factorization.

2016309564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2016309564 is about 44903.3357780911. The cubic root of 2016309564 is about 1263.3365761936.

The spelling of 2016309564 in words is "two billion, sixteen million, three hundred nine thousand, five hundred sixty-four".