2064016656 has 120 divisors (see below), whose sum is σ = 6353343360. Its totient is φ = 621543168.

The previous prime is 2064016589. The next prime is 2064016663. The reversal of 2064016656 is 6566104602.

It is a happy number.

2064016656 is a `hidden beast` number, since 2 + 0 + 640 + 1 + 6 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2064016656.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 76255 + ... + 99713.

It is an arithmetic number, because the mean of its divisors is an integer number (52944528).

Almost surely, 2^2064016656 is an apocalyptic number.

2064016656 is a gapful number since it is divisible by the number (26) 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 2064016656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176671680).

2064016656 is an abundant number, since it is smaller than the sum of its proper divisors (4289326704).

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

2064016656 is a wasteful number, since it uses less digits than its factorization.

2064016656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23533 (or 23524 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2064016656 is about 45431.4500759111. The cubic root of 2064016656 is about 1273.2227769355. Note that the first 3 decimals are identical.

The spelling of 2064016656 in words is "two billion, sixty-four million, sixteen thousand, six hundred fifty-six".