2130930816 has 192 divisors, whose sum is σ = 6651216000. Its totient is φ = 602671104.

The previous prime is 2130930797. The next prime is 2130930821. The reversal of 2130930816 is 6180390312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2130930816² = 9081732285156851712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2050425 + ... + 2051463.

It is an arithmetic number, because the mean of its divisors is an integer number (34641750).

Almost surely, 2^2130930816 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 2130930816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325608000).

2130930816 is an abundant number, since it is smaller than the sum of its proper divisors (4520285184).

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

2130930816 is a wasteful number, since it uses less digits than its factorization.

2130930816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2130930816 is about 46162.0061955717. The cubic root of 2130930816 is about 1286.8357469135.

It can be divided in two parts, 21309 and 30816, that added together give a palindrome (52125).

The spelling of 2130930816 in words is "two billion, one hundred thirty million, nine hundred thirty thousand, eight hundred sixteen".