2201718960 has 360 divisors, whose sum is σ = 9109747296. Its totient is φ = 473518080.

The previous prime is 2201718923. The next prime is 2201718973. The reversal of 2201718960 is 698171022.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 597925 + ... + 601595.

Almost surely, 2^2201718960 is an apocalyptic number.

2201718960 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 2201718960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554873648).

2201718960 is an abundant number, since it is smaller than the sum of its proper divisors (6908028336).

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

2201718960 is a wasteful number, since it uses less digits than its factorization.

2201718960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2201718960 is about 46922.4781954236. The cubic root of 2201718960 is about 1300.9300957378.

Adding to 2201718960 its reverse (698171022), we get a palindrome (2899889982).

The spelling of 2201718960 in words is "two billion, two hundred one million, seven hundred eighteen thousand, nine hundred sixty".