2218763664 has 200 divisors, whose sum is σ = 7007468160. Its totient is φ = 673650432.

The previous prime is 2218763641. The next prime is 2218763671. The reversal of 2218763664 is 4663678122.

2218763664 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 7 + 636 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1330159 + ... + 1331825.

Almost surely, 2^2218763664 is an apocalyptic number.

2218763664 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 2218763664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503734080).

2218763664 is an abundant number, since it is smaller than the sum of its proper divisors (4788704496).

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

2218763664 is a wasteful number, since it uses less digits than its factorization.

2218763664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1764 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2218763664 is about 47103.7542452828. The cubic root of 2218763664 is about 1304.2785389908.

The spelling of 2218763664 in words is "two billion, two hundred eighteen million, seven hundred sixty-three thousand, six hundred sixty-four".