2306064384 has 240 divisors, whose sum is σ = 7376507040. Its totient is φ = 707788800.

The previous prime is 2306064373. The next prime is 2306064389. The reversal of 2306064384 is 4834606032.

It is a happy number.

2306064384 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 0 + 643 + 8 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2306064389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5750584 + ... + 5750984.

It is an arithmetic number, because the mean of its divisors is an integer number (30735446).

Almost surely, 2^2306064384 is an apocalyptic number.

2306064384 is a gapful number since it is divisible by the number (24) 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 2306064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688253520).

2306064384 is an abundant number, since it is smaller than the sum of its proper divisors (5070442656).

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

2306064384 is an equidigital number, since it uses as much as digits as its factorization.

2306064384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2306064384 is about 48021.4991852608. The cubic root of 2306064384 is about 1321.1652520434.

The spelling of 2306064384 in words is "two billion, three hundred six million, sixty-four thousand, three hundred eighty-four".