2064288960 has 336 divisors, whose sum is σ = 7392253440. Its totient is φ = 528353280.

The previous prime is 2064288959. The next prime is 2064289037. The reversal of 2064288960 is 698824602.

It is a super-2 number, since 2×2064288960² = 8522577820755763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 9783255 + ... + 9783465.

Almost surely, 2^2064288960 is an apocalyptic number.

2064288960 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 2064288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696126720).

2064288960 is an abundant number, since it is smaller than the sum of its proper divisors (5327964480).

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

2064288960 is a wasteful number, since it uses less digits than its factorization.

2064288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2064288960 is about 45434.4468437770. The cubic root of 2064288960 is about 1273.2787662139.

The spelling of 2064288960 in words is "two billion, sixty-four million, two hundred eighty-eight thousand, nine hundred sixty".