2181995712 has 224 divisors, whose sum is σ = 6968337600. Its totient is φ = 665542656.

The previous prime is 2181995707. The next prime is 2181995759. The reversal of 2181995712 is 2175991812.

It is a super-2 number, since 2×2181995712² = 9522210574372773888, which contains 22 as substring.

Its product of digits (90720) is a multiple of the sum of its prime divisors (864).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3077214 + ... + 3077922.

It is an arithmetic number, because the mean of its divisors is an integer number (31108650).

Almost surely, 2^2181995712 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 2181995712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484168800).

2181995712 is an abundant number, since it is smaller than the sum of its proper divisors (4786341888).

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

2181995712 is a wasteful number, since it uses less digits than its factorization.

2181995712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 864 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The square root of 2181995712 is about 46711.8369580987. The cubic root of 2181995712 is about 1297.0338116036.

The spelling of 2181995712 in words is "two billion, one hundred eighty-one million, nine hundred ninety-five thousand, seven hundred twelve".