2352050116000 has 192 divisors, whose sum is σ = 6375323668896. Its totient is φ = 847266816000.

The previous prime is 2352050115991. The next prime is 2352050116007. The reversal of 2352050116000 is 6110502532.

It can be written as a sum of positive squares in 16 ways, for example, as 1397700875536 + 954349240464 = 1182244^2 + 976908^2 .

It is a super-2 number, since 2×2352050116000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2352050116007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1580394 + ... + 2683606.

Almost surely, 2^{2352050116000} is an apocalyptic number.

2352050116000 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 2352050116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187661834448).

2352050116000 is an abundant number, since it is smaller than the sum of its proper divisors (4023273552896).

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

2352050116000 is a wasteful number, since it uses less digits than its factorization.

2352050116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103292 (or 1103274 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 2352050116000 its reverse (6110502532), we get a palindrome (2358160618532).

The spelling of 2352050116000 in words is "two trillion, three hundred fifty-two billion, fifty million, one hundred sixteen thousand".