2218328064 has 102 divisors (see below), whose sum is σ = 6410158326. Its totient is φ = 739246080.

The previous prime is 2218328051. The next prime is 2218328087. The reversal of 2218328064 is 4608238122.

It can be written as a sum of positive squares in only one way, i.e., 1849688064 + 368640000 = 43008^2 + 19200^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 587944 + ... + 591704.

Almost surely, 2^2218328064 is an apocalyptic number.

2218328064 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 2218328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205079163).

2218328064 is an abundant number, since it is smaller than the sum of its proper divisors (4191830262).

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

2218328064 is an frugal number, since it uses more digits than its factorization.

2218328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2218328064 is about 47099.1301830512. The cubic root of 2218328064 is about 1304.1931790033.

The spelling of 2218328064 in words is "two billion, two hundred eighteen million, three hundred twenty-eight thousand, sixty-four".