2218389264 has 480 divisors, whose sum is σ = 8134590464. Its totient is φ = 548674560.

The previous prime is 2218389263. The next prime is 2218389281. The reversal of 2218389264 is 4629838122.

2218389264 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 389 + 264 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2218389263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17467569 + ... + 17467695.

Almost surely, 2^2218389264 is an apocalyptic number.

2218389264 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 2218389264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067295232).

2218389264 is an abundant number, since it is smaller than the sum of its proper divisors (5916201200).

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

2218389264 is a wasteful number, since it uses less digits than its factorization.

2218389264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

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

The square root of 2218389264 is about 47099.7798720971. The cubic root of 2218389264 is about 1304.2051724035.

The spelling of 2218389264 in words is "two billion, two hundred eighteen million, three hundred eighty-nine thousand, two hundred sixty-four".