2714201664 has 84 divisors (see below), whose sum is σ = 7507412976. Its totient is φ = 865365248.

The previous prime is 2714201629. The next prime is 2714201689. The reversal of 2714201664 is 4661024172.

2714201664 = 17362² + 17363² + ... + 17370².

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88207 + ... + 114929.

It is an arithmetic number, because the mean of its divisors is an integer number (89373964).

Almost surely, 2^2714201664 is an apocalyptic number.

2714201664 is a gapful number since it is divisible by the number (24) 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 2714201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753706488).

2714201664 is an abundant number, since it is smaller than the sum of its proper divisors (4793211312).

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

2714201664 is a wasteful number, since it uses less digits than its factorization.

2714201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26784 (or 26751 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2714201664 is about 52098.0005758378. Note that the first 3 decimals coincide. The cubic root of 2714201664 is about 1394.9137999947.

The spelling of 2714201664 in words is "two billion, seven hundred fourteen million, two hundred one thousand, six hundred sixty-four".