2117008095 has 16 divisors (see below), whose sum is σ = 3478760160. Its totient is φ = 1098555264.

The previous prime is 2117008081. The next prime is 2117008151. The reversal of 2117008095 is 5908007112.

It is not a de Polignac number, because 2117008095 - 2⁹ = 2117007583 is a prime.

It is a super-3 number, since 3×2117008095³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1906660 + ... + 1907769.

It is an arithmetic number, because the mean of its divisors is an integer number (217422510).

Almost surely, 2^2117008095 is an apocalyptic number.

2117008095 is a deficient number, since it is larger than the sum of its proper divisors (1361752065).

2117008095 is a wasteful number, since it uses less digits than its factorization.

2117008095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814474.

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 2117008095 is about 46010.9562495717. The cubic root of 2117008095 is about 1284.0270499489.

The spelling of 2117008095 in words is "two billion, one hundred seventeen million, eight thousand, ninety-five".