2218893264 has 360 divisors, whose sum is σ = 7898348640. Its totient is φ = 599622912.

The previous prime is 2218893247. The next prime is 2218893277. The reversal of 2218893264 is 4623988122.

2218893264 is a `hidden beast` number, since 221 + 88 + 93 + 264 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3619422 + ... + 3620034.

Almost surely, 2^2218893264 is an apocalyptic number.

2218893264 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 2218893264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949174320).

2218893264 is an abundant number, since it is smaller than the sum of its proper divisors (5679455376).

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

2218893264 is a wasteful number, since it uses less digits than its factorization.

2218893264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 644 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2218893264 is about 47105.1299117198. The cubic root of 2218893264 is about 1304.3039331943.

The spelling of 2218893264 in words is "two billion, two hundred eighteen million, eight hundred ninety-three thousand, two hundred sixty-four".