2384768064 has 336 divisors, whose sum is σ = 7805611008. Its totient is φ = 639378432.

The previous prime is 2384768063. The next prime is 2384768069. The reversal of 2384768064 is 4608674832.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2384768063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22287499 + ... + 22287605.

Almost surely, 2^2384768064 is an apocalyptic number.

2384768064 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 2384768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902805504).

2384768064 is an abundant number, since it is smaller than the sum of its proper divisors (5420842944).

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

2384768064 is a wasteful number, since it uses less digits than its factorization.

2384768064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 2384768064 is about 48834.0871113611. The cubic root of 2384768064 is about 1336.0274535097.

The spelling of 2384768064 in words is "two billion, three hundred eighty-four million, seven hundred sixty-eight thousand, sixty-four".