2717887172 has 96 divisors (see below), whose sum is σ = 6761905920. Its totient is φ = 919941120.

The previous prime is 2717887153. The next prime is 2717887177.

2717887172 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2717887172.

It is not an unprimeable number, because it can be changed into a prime (2717887177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48104 + ... + 88032.

It is an arithmetic number, because the mean of its divisors is an integer number (70436520).

Almost surely, 2^2717887172 is an apocalyptic number.

2717887172 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 2717887172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380952960).

2717887172 is an abundant number, since it is smaller than the sum of its proper divisors (4044018748).

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

2717887172 is a wasteful number, since it uses less digits than its factorization.

2717887172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39981 (or 39979 counting only the distinct ones).

The product of its digits is 614656, while the sum is 50.

The square root of 2717887172 is about 52133.3594927471. The cubic root of 2717887172 is about 1395.5448806897.

The spelling of 2717887172 in words is "two billion, seven hundred seventeen million, eight hundred eighty-seven thousand, one hundred seventy-two".