2016718560 has 240 divisors, whose sum is σ = 7236849312. Its totient is φ = 528768000.

The previous prime is 2016718549. The next prime is 2016718579. The reversal of 2016718560 is 658176102.

2016718560 is a `hidden beast` number, since 20 + 1 + 6 + 71 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 789285 + ... + 791835.

Almost surely, 2^2016718560 is an apocalyptic number.

2016718560 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 2016718560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618424656).

2016718560 is an abundant number, since it is smaller than the sum of its proper divisors (5220130752).

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

2016718560 is a wasteful number, since it uses less digits than its factorization.

2016718560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2016718560 is about 44907.8897299795. The cubic root of 2016718560 is about 1263.4219904380.

The spelling of 2016718560 in words is "two billion, sixteen million, seven hundred eighteen thousand, five hundred sixty".