2394057234816 has 768 divisors, whose sum is σ = 8053865164800. Its totient is φ = 676550983680.

The previous prime is 2394057234797. The next prime is 2394057234817. The reversal of 2394057234816 is 6184327504932.

2394057234816 is a `hidden beast` number, since 2 + 3 + 94 + 0 + 5 + 72 + 3 + 481 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2394057234817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1484225626 + ... + 1484227238.

It is an arithmetic number, because the mean of its divisors is an integer number (10486803600).

It is a 1-persistent number, because it is pandigital, but 2⋅2394057234816 = 4788114469632 is not.

Almost surely, 2^{2394057234816} is an apocalyptic number.

2394057234816 is a gapful number since it is divisible by the number (26) 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 2394057234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026932582400).

2394057234816 is an abundant number, since it is smaller than the sum of its proper divisors (5659807929984).

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

2394057234816 is a wasteful number, since it uses less digits than its factorization.

2394057234816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2394057234816 in words is "two trillion, three hundred ninety-four billion, fifty-seven million, two hundred thirty-four thousand, eight hundred sixteen".