2218358016 has 720 divisors, whose sum is σ = 8547517440. Its totient is φ = 557383680.

The previous prime is 2218357997. The next prime is 2218358059. The reversal of 2218358016 is 6108538122.

It is a happy number.

It is a super-2 number, since 2×2218358016² = 9842224574302912512, which contains 22 as substring.

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71559921 + ... + 71559951.

It is an arithmetic number, because the mean of its divisors is an integer number (11871552).

Almost surely, 2^2218358016 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 2218358016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273758720).

2218358016 is an abundant number, since it is smaller than the sum of its proper divisors (6329159424).

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

2218358016 is a wasteful number, since it uses less digits than its factorization.

2218358016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2218358016 is about 47099.4481496333. The cubic root of 2218358016 is about 1304.1990487420.

The spelling of 2218358016 in words is "two billion, two hundred eighteen million, three hundred fifty-eight thousand, sixteen".