2220134688 has 144 divisors (see below), whose sum is σ = 6567724800. Its totient is φ = 710622720.

The previous prime is 2220134681. The next prime is 2220134689. The reversal of 2220134688 is 8864310222.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2220134681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1240098 + ... + 1241886.

It is an arithmetic number, because the mean of its divisors is an integer number (45609200).

Almost surely, 2^2220134688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220134688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283862400).

2220134688 is an abundant number, since it is smaller than the sum of its proper divisors (4347590112).

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

2220134688 is a wasteful number, since it uses less digits than its factorization.

2220134688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1964 counting only the distinct ones).

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

The square root of 2220134688 is about 47118.3052326800. The cubic root of 2220134688 is about 1304.5471313624.

The spelling of 2220134688 in words is "two billion, two hundred twenty million, one hundred thirty-four thousand, six hundred eighty-eight".