2168675712 has 288 divisors, whose sum is σ = 7349593680. Its totient is φ = 611960832.

The previous prime is 2168675687. The next prime is 2168675777. The reversal of 2168675712 is 2175768612.

2168675712 is a `hidden beast` number, since 2 + 16 + 8 + 67 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 5813958 + ... + 5814330.

Almost surely, 2^2168675712 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 2168675712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674796840).

2168675712 is an abundant number, since it is smaller than the sum of its proper divisors (5180917968).

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

2168675712 is a wasteful number, since it uses less digits than its factorization.

2168675712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 488 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 2168675712 is about 46569.0424209045. The cubic root of 2168675712 is about 1294.3891738249.

The spelling of 2168675712 in words is "two billion, one hundred sixty-eight million, six hundred seventy-five thousand, seven hundred twelve".