2717307648 has 486 divisors, whose sum is σ = 9425380692. Its totient is φ = 780088320.

The previous prime is 2717307641. The next prime is 2717307673. The reversal of 2717307648 is 8467037172.

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 tau number, because it is divible by the number of its divisors (486).

It is not an unprimeable number, because it can be changed into a prime (2717307641) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 143016183 + ... + 143016201.

Almost surely, 2^2717307648 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 2717307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712690346).

2717307648 is an abundant number, since it is smaller than the sum of its proper divisors (6708073044).

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

2717307648 is an equidigital number, since it uses as much as digits as its factorization.

2717307648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 2717307648 is about 52127.8011045929. The cubic root of 2717307648 is about 1395.4456848574.

It can be divided in two parts, 271730 and 7648, that added together give a triangular number (279378 = T₇₄₇).

The spelling of 2717307648 in words is "two billion, seven hundred seventeen million, three hundred seven thousand, six hundred forty-eight".