2714349664 has 96 divisors (see below), whose sum is σ = 5879623680. Its totient is φ = 1225953792.

The previous prime is 2714349661. The next prime is 2714349683. The reversal of 2714349664 is 4669434172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2714349661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4384747 + ... + 4385365.

It is an arithmetic number, because the mean of its divisors is an integer number (61246080).

Almost surely, 2^2714349664 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 2714349664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939811840).

2714349664 is an abundant number, since it is smaller than the sum of its proper divisors (3165274016).

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

2714349664 is a wasteful number, since it uses less digits than its factorization.

2714349664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The square root of 2714349664 is about 52099.4209564751. The cubic root of 2714349664 is about 1394.9391534891.

The spelling of 2714349664 in words is "two billion, seven hundred fourteen million, three hundred forty-nine thousand, six hundred sixty-four".