2438159291568 has 1280 divisors, whose sum is σ = 9752975769600. Its totient is φ = 562609152000.

The previous prime is 2438159291543. The next prime is 2438159291573. The reversal of 2438159291568 is 8651929518342.

2438159291568 is a `hidden beast` number, since 2 + 4 + 38 + 1 + 592 + 9 + 1 + 5 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3203888308 + ... + 3203889068.

It is an arithmetic number, because the mean of its divisors is an integer number (7619512320).

Almost surely, 2^{2438159291568} is an apocalyptic number.

2438159291568 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 2438159291568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876487884800).

2438159291568 is an abundant number, since it is smaller than the sum of its proper divisors (7314816478032).

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

2438159291568 is a wasteful number, since it uses less digits than its factorization.

2438159291568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1067 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 2438159291568 in words is "two trillion, four hundred thirty-eight billion, one hundred fifty-nine million, two hundred ninety-one thousand, five hundred sixty-eight".