2064310272 has 336 divisors, whose sum is σ = 6655167792. Its totient is φ = 637009920.

The previous prime is 2064310229. The next prime is 2064310319. The reversal of 2064310272 is 2720134602.

2064310272 is a `hidden beast` number, since 2 + 0 + 643 + 10 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×2064310272² = 8522753798169427968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33841122 + ... + 33841182.

It is an arithmetic number, because the mean of its divisors is an integer number (19807047).

Almost surely, 2^2064310272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064310272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327583896).

2064310272 is an abundant number, since it is smaller than the sum of its proper divisors (4590857520).

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

2064310272 is an frugal number, since it uses more digits than its factorization.

2064310272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2064310272 is about 45434.6813788762. The cubic root of 2064310272 is about 1273.2831480332.

Adding to 2064310272 its reverse (2720134602), we get a palindrome (4784444874).

The spelling of 2064310272 in words is "two billion, sixty-four million, three hundred ten thousand, two hundred seventy-two".