2304024416064 has 448 divisors, whose sum is σ = 7866642534400. Its totient is φ = 647694268416.

The previous prime is 2304024416063. The next prime is 2304024416077. The reversal of 2304024416064 is 4606144204032.

2304024416064 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 0 + 2 + 4 + 41 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (2304024416063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195598527 + ... + 195610305.

Almost surely, 2^{2304024416064} is an apocalyptic number.

2304024416064 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 2304024416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933321267200).

2304024416064 is an abundant number, since it is smaller than the sum of its proper divisors (5562618118336).

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

2304024416064 is a wasteful number, since it uses less digits than its factorization.

2304024416064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12067 (or 12051 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 2304024416064 in words is "two trillion, three hundred four billion, twenty-four million, four hundred sixteen thousand, sixty-four".