2064971664 has 160 divisors (see below), whose sum is σ = 6842062080. Its totient is φ = 584064000.

The previous prime is 2064971611. The next prime is 2064971687. The reversal of 2064971664 is 4661794602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302044 + ... + 308804.

It is an arithmetic number, because the mean of its divisors is an integer number (42762888).

Almost surely, 2^2064971664 is an apocalyptic number.

2064971664 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 2064971664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421031040).

2064971664 is an abundant number, since it is smaller than the sum of its proper divisors (4777090416).

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

2064971664 is a wasteful number, since it uses less digits than its factorization.

2064971664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6886 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2064971664 is about 45441.9592887455. The cubic root of 2064971664 is about 1273.4191174781.

The spelling of 2064971664 in words is "two billion, sixty-four million, nine hundred seventy-one thousand, six hundred sixty-four".