2216291616 has 288 divisors, whose sum is σ = 7925299200. Its totient is φ = 570723840.

The previous prime is 2216291579. The next prime is 2216291629. The reversal of 2216291616 is 6161926122.

2216291616 is a `hidden beast` number, since 2 + 2 + 1 + 629 + 16 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3082105 + ... + 3082823.

It is an arithmetic number, because the mean of its divisors is an integer number (27518400).

Almost surely, 2^2216291616 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 2216291616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962649600).

2216291616 is an abundant number, since it is smaller than the sum of its proper divisors (5709007584).

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

2216291616 is a wasteful number, since it uses less digits than its factorization.

2216291616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 881 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2216291616 is about 47077.5064760231. The cubic root of 2216291616 is about 1303.7939692306.

The spelling of 2216291616 in words is "two billion, two hundred sixteen million, two hundred ninety-one thousand, six hundred sixteen".