2384216064 has 360 divisors, whose sum is σ = 7769711040. Its totient is φ = 700710912.

The previous prime is 2384216057. The next prime is 2384216111. The reversal of 2384216064 is 4606124832.

2384216064 is a `hidden beast` number, since 2 + 3 + 8 + 42 + 1 + 606 + 4 = 666.

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

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, 64438254 + ... + 64438290.

Almost surely, 2^2384216064 is an apocalyptic number.

2384216064 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 2384216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884855520).

2384216064 is an abundant number, since it is smaller than the sum of its proper divisors (5385494976).

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

2384216064 is a wasteful number, since it uses less digits than its factorization.

2384216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2384216064 is about 48828.4349943760. The cubic root of 2384216064 is about 1335.9243625531.

The spelling of 2384216064 in words is "two billion, three hundred eighty-four million, two hundred sixteen thousand, sixty-four".