2064165984 has 96 divisors (see below), whose sum is σ = 6134214240. Its totient is φ = 675058176.

The previous prime is 2064165977. The next prime is 2064165989. The reversal of 2064165984 is 4895614602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064165989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23254 + ... + 68330.

It is an arithmetic number, because the mean of its divisors is an integer number (63898065).

Almost surely, 2^2064165984 is an apocalyptic number.

2064165984 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 2064165984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067107120).

2064165984 is an abundant number, since it is smaller than the sum of its proper divisors (4070048256).

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

2064165984 is a wasteful number, since it uses less digits than its factorization.

2064165984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45149 (or 45135 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2064165984 is about 45433.0934892177. The cubic root of 2064165984 is about 1273.2534813431.

The spelling of 2064165984 in words is "two billion, sixty-four million, one hundred sixty-five thousand, nine hundred eighty-four".