2130116375968 has 192 divisors, whose sum is σ = 4952174008320. Its totient is φ = 882860663808.

The previous prime is 2130116375941. The next prime is 2130116376013. The reversal of 2130116375968 is 8695736110312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116997671 + ... + 1116999577.

It is an arithmetic number, because the mean of its divisors is an integer number (25792572960).

Almost surely, 2^{2130116375968} is an apocalyptic number.

2130116375968 is a gapful number since it is divisible by the number (28) 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 2130116375968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476087004160).

2130116375968 is an abundant number, since it is smaller than the sum of its proper divisors (2822057632352).

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

2130116375968 is a wasteful number, since it uses less digits than its factorization.

2130116375968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 2130116375968 in words is "two trillion, one hundred thirty billion, one hundred sixteen million, three hundred seventy-five thousand, nine hundred sixty-eight".