2016221760 has 896 divisors, whose sum is σ = 9006474240. Its totient is φ = 414056448.

The previous prime is 2016221759. The next prime is 2016221771. The reversal of 2016221760 is 671226102.

2016221760 is a `hidden beast` number, since 20 + 1 + 622 + 17 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38041894 + ... + 38041946.

Almost surely, 2^2016221760 is an apocalyptic number.

2016221760 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 2016221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503237120).

2016221760 is an abundant number, since it is smaller than the sum of its proper divisors (6990252480).

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

2016221760 is a wasteful number, since it uses less digits than its factorization.

2016221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2016221760 is about 44902.3580672552. The cubic root of 2016221760 is about 1263.3182378034.

Adding to 2016221760 its reverse (671226102), we get a palindrome (2687447862).

The spelling of 2016221760 in words is "two billion, sixteen million, two hundred twenty-one thousand, seven hundred sixty".