2352042306306 has 288 divisors, whose sum is σ = 6711384962880. Its totient is φ = 587970835200.

The previous prime is 2352042306301. The next prime is 2352042306337. The reversal of 2352042306306 is 6036032402532.

2352042306306 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 0 + 42 + 306 + 306 = 666.

It is not an unprimeable number, because it can be changed into a prime (2352042306301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89177301 + ... + 89203671.

It is an arithmetic number, because the mean of its divisors is an integer number (23303420010).

Almost surely, 2^{2352042306306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2352042306306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355692481440).

2352042306306 is an abundant number, since it is smaller than the sum of its proper divisors (4359342656574).

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

2352042306306 is a wasteful number, since it uses less digits than its factorization.

2352042306306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26750 (or 26740 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 2352042306306 its reverse (6036032402532), we get a palindrome (8388074708838).

The spelling of 2352042306306 in words is "two trillion, three hundred fifty-two billion, forty-two million, three hundred six thousand, three hundred six".