2216854656 has 320 divisors, whose sum is σ = 6986806200. Its totient is φ = 696729600.

The previous prime is 2216854639. The next prime is 2216854657. The reversal of 2216854656 is 6564586122.

2216854656 is a `hidden beast` number, since 22 + 168 + 5 + 465 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2210504256 + 6350400 = 47016^2 + 2520^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216854657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21949006 + ... + 21949106.

Almost surely, 2^2216854656 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 2216854656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493403100).

2216854656 is an abundant number, since it is smaller than the sum of its proper divisors (4769951544).

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

2216854656 is a wasteful number, since it uses less digits than its factorization.

2216854656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 2216854656 is about 47083.4860221713. The cubic root of 2216854656 is about 1303.9043677593.

The spelling of 2216854656 in words is "two billion, two hundred sixteen million, eight hundred fifty-four thousand, six hundred fifty-six".