2427861168 has 80 divisors (see below), whose sum is σ = 6990326400. Its totient is φ = 806794560.

The previous prime is 2427861143. The next prime is 2427861181. The reversal of 2427861168 is 8611687242.

2427861168 is a `hidden beast` number, since 2 + 4 + 27 + 8 + 611 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134503 + ... + 151481.

It is an arithmetic number, because the mean of its divisors is an integer number (87379080).

Almost surely, 2^2427861168 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 2427861168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495163200).

2427861168 is an abundant number, since it is smaller than the sum of its proper divisors (4562465232).

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

2427861168 is a wasteful number, since it uses less digits than its factorization.

2427861168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17327 (or 17315 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2427861168 is about 49273.3312046182. The cubic root of 2427861168 is about 1344.0268648967.

The spelling of 2427861168 in words is "two billion, four hundred twenty-seven million, eight hundred sixty-one thousand, one hundred sixty-eight".