2218984768 has 224 divisors, whose sum is σ = 6226698240. Its totient is φ = 755619840.

The previous prime is 2218984751. The next prime is 2218984813. The reversal of 2218984768 is 8674898122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×2218984768³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216305 + ... + 1218127.

It is an arithmetic number, because the mean of its divisors is an integer number (27797760).

Almost surely, 2^2218984768 is an apocalyptic number.

2218984768 is a gapful number since it is divisible by the number (28) 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 2218984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113349120).

2218984768 is an abundant number, since it is smaller than the sum of its proper divisors (4007713472).

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

2218984768 is a wasteful number, since it uses less digits than its factorization.

2218984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1875 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 55.

The square root of 2218984768 is about 47106.1011759623. The cubic root of 2218984768 is about 1304.3218621604.

The spelling of 2218984768 in words is "two billion, two hundred eighteen million, nine hundred eighty-four thousand, seven hundred sixty-eight".