2717117172 has 144 divisors (see below), whose sum is σ = 8597901312. Its totient is φ = 702872640.

The previous prime is 2717117119. The next prime is 2717117177.

It is a happy number.

2717117172 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2717117177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727173 + ... + 730899.

It is an arithmetic number, because the mean of its divisors is an integer number (59707648).

Almost surely, 2^2717117172 is an apocalyptic number.

2717117172 is a gapful number since it is divisible by the number (22) 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 2717117172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298950656).

2717117172 is an abundant number, since it is smaller than the sum of its proper divisors (5880784140).

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

2717117172 is a wasteful number, since it uses less digits than its factorization.

2717117172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4013 counting only the distinct ones).

The product of its digits is 9604, while the sum is 36.

The square root of 2717117172 is about 52125.9740628413. The cubic root of 2717117172 is about 1395.4130784252.

The spelling of 2717117172 in words is "two billion, seven hundred seventeen million, one hundred seventeen thousand, one hundred seventy-two".