2064384000 has 456 divisors, whose sum is σ = 8506032288. Its totient is φ = 471859200.

The previous prime is 2064383983. The next prime is 2064384037. The reversal of 2064384000 is 4834602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294911997 + ... + 294912003.

Almost surely, 2^2064384000 is an apocalyptic number.

2064384000 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 2064384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253016144).

2064384000 is an abundant number, since it is smaller than the sum of its proper divisors (6441648288).

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

2064384000 is an frugal number, since it uses more digits than its factorization.

2064384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2064384000 is about 45435.4927342051. The cubic root of 2064384000 is about 1273.2983065268.

The spelling of 2064384000 in words is "two billion, sixty-four million, three hundred eighty-four thousand".