2381842716000 has 768 divisors, whose sum is σ = 8843245092864. Its totient is φ = 555206400000.

The previous prime is 2381842715981. The next prime is 2381842716013. The reversal of 2381842716000 is 6172481832.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 666994215 + ... + 666997785.

It is an arithmetic number, because the mean of its divisors is an integer number (11514642048).

Almost surely, 2^{2381842716000} is an apocalyptic number.

2381842716000 is a gapful number since it is divisible by the number (20) 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 2381842716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421622546432).

2381842716000 is an abundant number, since it is smaller than the sum of its proper divisors (6461402376864).

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

2381842716000 is a wasteful number, since it uses less digits than its factorization.

2381842716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 2381842716000 in words is "two trillion, three hundred eighty-one billion, eight hundred forty-two million, seven hundred sixteen thousand".