2218280633088 has 576 divisors, whose sum is σ = 7032311032320. Its totient is φ = 614339444736.

The previous prime is 2218280633077. The next prime is 2218280633089. The reversal of 2218280633088 is 8803360828122.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2218280633088.

It is not an unprimeable number, because it can be changed into a prime (2218280633089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370513231 + ... + 370519217.

It is an arithmetic number, because the mean of its divisors is an integer number (12208873320).

Almost surely, 2^{2218280633088} 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 2218280633088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516155516160).

2218280633088 is an abundant number, since it is smaller than the sum of its proper divisors (4814030399232).

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

2218280633088 is a wasteful number, since it uses less digits than its factorization.

2218280633088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 2218280633088 in words is "two trillion, two hundred eighteen billion, two hundred eighty million, six hundred thirty-three thousand, eighty-eight".