2128319360 has 64 divisors (see below), whose sum is σ = 5108670000. Its totient is φ = 847872000.

The previous prime is 2128319339. The next prime is 2128319407. The reversal of 2128319360 is 639138212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2128319360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154016 + ... + 167264.

Almost surely, 2^2128319360 is an apocalyptic number.

2128319360 is a gapful number since it is divisible by the number (20) 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 2128319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554335000).

2128319360 is an abundant number, since it is smaller than the sum of its proper divisors (2980350640).

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

2128319360 is a wasteful number, since it uses less digits than its factorization.

2128319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13519 (or 13507 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 2128319360 is about 46133.7117518198. The cubic root of 2128319360 is about 1286.3098595700.

The spelling of 2128319360 in words is "two billion, one hundred twenty-eight million, three hundred nineteen thousand, three hundred sixty".