2218605984 has 384 divisors, whose sum is σ = 7983360000. Its totient is φ = 585252864.

The previous prime is 2218605979. The next prime is 2218605997. The reversal of 2218605984 is 4895068122.

2218605984 is a `hidden beast` number, since 22 + 18 + 605 + 9 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4940992 + ... + 4941440.

It is an arithmetic number, because the mean of its divisors is an integer number (20790000).

Almost surely, 2^2218605984 is an apocalyptic number.

2218605984 is a gapful number since it is divisible by the number (24) 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 2218605984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680000).

2218605984 is an abundant number, since it is smaller than the sum of its proper divisors (5764754016).

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

2218605984 is a wasteful number, since it uses less digits than its factorization.

2218605984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2218605984 is about 47102.0804636059. The cubic root of 2218605984 is about 1304.2476413765.

The spelling of 2218605984 in words is "two billion, two hundred eighteen million, six hundred five thousand, nine hundred eighty-four".