2382524648064 has 640 divisors, whose sum is σ = 7978421721600. Its totient is φ = 699603609600.

The previous prime is 2382524648039. The next prime is 2382524648093. The reversal of 2382524648064 is 4608464252832.

2382524648064 is a `hidden beast` number, since 2 + 3 + 82 + 5 + 24 + 6 + 480 + 64 = 666.

It is a super-3 number, since 3×2382524648064³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2382524648064.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 477744579 + ... + 477749565.

It is an arithmetic number, because the mean of its divisors is an integer number (12466283940).

Almost surely, 2^{2382524648064} is an apocalyptic number.

2382524648064 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 2382524648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989210860800).

2382524648064 is an abundant number, since it is smaller than the sum of its proper divisors (5595897073536).

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

2382524648064 is a wasteful number, since it uses less digits than its factorization.

2382524648064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 2382524648064 in words is "two trillion, three hundred eighty-two billion, five hundred twenty-four million, six hundred forty-eight thousand, sixty-four".