2130538350312 has 144 divisors (see below), whose sum is σ = 5989119072300. Its totient is φ = 684140774400.

The previous prime is 2130538350307. The next prime is 2130538350319.

2130538350312 is a `hidden beast` number, since 2 + 1 + 305 + 3 + 8 + 35 + 0 + 312 = 666.

2130538350312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 1966518210276 + 164020140036 = 1402326^2 + 404994^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2130538350319) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9848364 + ... + 10062372.

Almost surely, 2^{2130538350312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130538350312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994559536150).

2130538350312 is an abundant number, since it is smaller than the sum of its proper divisors (3858580721988).

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

2130538350312 is a wasteful number, since it uses less digits than its factorization.

2130538350312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214196 (or 214152 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 2130538350312 in words is "two trillion, one hundred thirty billion, five hundred thirty-eight million, three hundred fifty thousand, three hundred twelve".