2117337728 has 128 divisors (see below), whose sum is σ = 4786084800. Its totient is φ = 924549120.

The previous prime is 2117337689. The next prime is 2117337737. The reversal of 2117337728 is 8277337112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5053103 + ... + 5053521.

Almost surely, 2^2117337728 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 2117337728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393042400).

2117337728 is an abundant number, since it is smaller than the sum of its proper divisors (2668747072).

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

2117337728 is a wasteful number, since it uses less digits than its factorization.

2117337728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 566 counting only the distinct ones).

The product of its digits is 98784, while the sum is 41.

The square root of 2117337728 is about 46014.5382243482. The cubic root of 2117337728 is about 1284.0936904943.

The spelling of 2117337728 in words is "two billion, one hundred seventeen million, three hundred thirty-seven thousand, seven hundred twenty-eight".