2064164110080 has 576 divisors, whose sum is σ = 7359412515840. Its totient is φ = 490009264128.

The previous prime is 2064164110039. The next prime is 2064164110081. The reversal of 2064164110080 is 800114614602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064164110081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1219233714 + ... + 1219235406.

It is an arithmetic number, because the mean of its divisors is an integer number (12776757840).

Almost surely, 2^{2064164110080} is an apocalyptic number.

2064164110080 is a gapful number since it is divisible by the number (20) 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 2064164110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679706257920).

2064164110080 is an abundant number, since it is smaller than the sum of its proper divisors (5295248405760).

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

2064164110080 is a wasteful number, since it uses less digits than its factorization.

2064164110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 2064164110080 its reverse (800114614602), we get a palindrome (2864278724682).

The spelling of 2064164110080 in words is "two trillion, sixty-four billion, one hundred sixty-four million, one hundred ten thousand, eighty".