2117600329 has 16 divisors (see below), whose sum is σ = 2399140800. Its totient is φ = 1855296576.

The previous prime is 2117600321. The next prime is 2117600333. The reversal of 2117600329 is 9230067112.

It is not a de Polignac number, because 2117600329 - 2³ = 2117600321 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2117600329.

It is not an unprimeable number, because it can be changed into a prime (2117600321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25359 + ... + 69844.

It is an arithmetic number, because the mean of its divisors is an integer number (149946300).

Almost surely, 2^2117600329 is an apocalyptic number.

2117600329 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2117600329 is a deficient number, since it is larger than the sum of its proper divisors (281540471).

2117600329 is a wasteful number, since it uses less digits than its factorization.

2117600329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95304.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 2117600329 is about 46017.3915927446. The cubic root of 2117600329 is about 1284.1467745069.

The spelling of 2117600329 in words is "two billion, one hundred seventeen million, six hundred thousand, three hundred twenty-nine".