2218489561728 has 1536 divisors, whose sum is σ = 8229665836800. Its totient is φ = 580953047040.

The previous prime is 2218489561721. The next prime is 2218489561751. The reversal of 2218489561728 is 8271659848122.

2218489561728 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 4 + 8 + 9 + 5 + 617 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2218489561721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8632254976 + ... + 8632255232.

Almost surely, 2^{2218489561728} 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 2218489561728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114832918400).

2218489561728 is an abundant number, since it is smaller than the sum of its proper divisors (6011176275072).

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

2218489561728 is a wasteful number, since it uses less digits than its factorization.

2218489561728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 346 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 2218489561728 in words is "two trillion, two hundred eighteen billion, four hundred eighty-nine million, five hundred sixty-one thousand, seven hundred twenty-eight".