2216917647360 has 360 divisors, whose sum is σ = 8276275753200. Its totient is φ = 545700446208.

The previous prime is 2216917647323. The next prime is 2216917647403. The reversal of 2216917647360 is 637467196122.

2216917647360 is a `hidden beast` number, since 2 + 2 + 16 + 91 + 76 + 473 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2216917647297 and 2216917647306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9468991 + ... + 9700289.

It is an arithmetic number, because the mean of its divisors is an integer number (22989654870).

Almost surely, 2^{2216917647360} is an apocalyptic number.

2216917647360 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 2216917647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138137876600).

2216917647360 is an abundant number, since it is smaller than the sum of its proper divisors (6059358105840).

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

2216917647360 is a wasteful number, since it uses less digits than its factorization.

2216917647360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231351 (or 231322 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 2216917647360 in words is "two trillion, two hundred sixteen billion, nine hundred seventeen million, six hundred forty-seven thousand, three hundred sixty".