2388242047968 has 1008 divisors, whose sum is σ = 8486398000080. Its totient is φ = 658932019200.

The previous prime is 2388242047951. The next prime is 2388242047969. The reversal of 2388242047968 is 8697402428832.

2388242047968 is a `hidden beast` number, since 2 + 3 + 8 + 82 + 4 + 20 + 479 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2388242047969) 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 167 ways as a sum of consecutive naturals, for example, 6139439518 + ... + 6139439906.

It is an arithmetic number, because the mean of its divisors is an integer number (8419045635).

Almost surely, 2^{2388242047968} is an apocalyptic number.

2388242047968 is a gapful number since it is divisible by the number (28) 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 2388242047968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243199000040).

2388242047968 is an abundant number, since it is smaller than the sum of its proper divisors (6098155952112).

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

2388242047968 is a wasteful number, since it uses less digits than its factorization.

2388242047968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 2388242047968 in words is "two trillion, three hundred eighty-eight billion, two hundred forty-two million, forty-seven thousand, nine hundred sixty-eight".