2188712064 has 256 divisors, whose sum is σ = 7347916800. Its totient is φ = 560701440.

The previous prime is 2188712059. The next prime is 2188712077. The reversal of 2188712064 is 4602178812.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2335404 + ... + 2336340.

It is an arithmetic number, because the mean of its divisors is an integer number (28702800).

Almost surely, 2^2188712064 is an apocalyptic number.

2188712064 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 2188712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673958400).

2188712064 is an abundant number, since it is smaller than the sum of its proper divisors (5159204736).

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

2188712064 is a wasteful number, since it uses less digits than its factorization.

2188712064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 2188712064 is about 46783.6730494731. The cubic root of 2188712064 is about 1298.3632387246.

The spelling of 2188712064 in words is "two billion, one hundred eighty-eight million, seven hundred twelve thousand, sixty-four".