2717257248 has 144 divisors (see below), whose sum is σ = 7939451520. Its totient is φ = 881115648.

The previous prime is 2717257223. The next prime is 2717257253. The reversal of 2717257248 is 8427527172.

2717257248 is a `hidden beast` number, since 2 + 7 + 1 + 72 + 572 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2666083 + ... + 2667101.

It is an arithmetic number, because the mean of its divisors is an integer number (55135080).

Almost surely, 2^2717257248 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 2717257248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969725760).

2717257248 is an abundant number, since it is smaller than the sum of its proper divisors (5222194272).

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

2717257248 is a wasteful number, since it uses less digits than its factorization.

2717257248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1268 counting only the distinct ones).

The product of its digits is 439040, while the sum is 45.

The square root of 2717257248 is about 52127.3176750924. The cubic root of 2717257248 is about 1395.4370573351.

The spelling of 2717257248 in words is "two billion, seven hundred seventeen million, two hundred fifty-seven thousand, two hundred forty-eight".