2216309760 has 264 divisors, whose sum is σ = 8777798016. Its totient is φ = 506511360.

The previous prime is 2216309759. The next prime is 2216309779. The reversal of 2216309760 is 679036122.

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 23 ways as a sum of consecutive naturals, for example, 319125 + ... + 325995.

Almost surely, 2^2216309760 is an apocalyptic number.

2216309760 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 2216309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388899008).

2216309760 is an abundant number, since it is smaller than the sum of its proper divisors (6561488256).

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

2216309760 is a wasteful number, since it uses less digits than its factorization.

2216309760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6909 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2216309760 is about 47077.6991791230. The cubic root of 2216309760 is about 1303.7975271218.

The spelling of 2216309760 in words is "two billion, two hundred sixteen million, three hundred nine thousand, seven hundred sixty".