2064007360272 has 160 divisors (see below), whose sum is σ = 6304092762240. Its totient is φ = 573667061760.

The previous prime is 2064007360187. The next prime is 2064007360273. The reversal of 2064007360272 is 2720637004602.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2064007360272.

It is not an unprimeable number, because it can be changed into a prime (2064007360273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120004 + ... + 2035292.

It is an arithmetic number, because the mean of its divisors is an integer number (39400579764).

Almost surely, 2^{2064007360272} is an apocalyptic number.

2064007360272 is a gapful number since it is divisible by the number (22) 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 2064007360272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152046381120).

2064007360272 is an abundant number, since it is smaller than the sum of its proper divisors (4240085401968).

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

2064007360272 is a wasteful number, since it uses less digits than its factorization.

2064007360272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915481 (or 1915475 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 2064007360272 in words is "two trillion, sixty-four billion, seven million, three hundred sixty thousand, two hundred seventy-two".