2717908992 has 130 divisors (see below), whose sum is σ = 8120172423. Its totient is φ = 905969664.

The previous prime is 2717908939. The next prime is 2717908993. The reversal of 2717908992 is 2998097172.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁴ ⋅ (2!)¹³.

It can be written as a sum of positive squares in only one way, i.e., 1358954496 + 1358954496 = 36864^2 + 36864^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=36864.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (2717908993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 905969663 + 905969664 + 905969665.

Almost surely, 2^2717908992 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 2717908992

2717908992 is an abundant number, since it is smaller than the sum of its proper divisors (5402263431).

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

2717908992 is an frugal number, since it uses more digits than its factorization.

2717908992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 2717908992 is about 52133.5687633218. The cubic root of 2717908992 is about 1395.5486152951.

The spelling of 2717908992 in words is "two billion, seven hundred seventeen million, nine hundred eight thousand, nine hundred ninety-two".