2379216168 has 144 divisors (see below), whose sum is σ = 7514762580. Its totient is φ = 678053376.

The previous prime is 2379216149. The next prime is 2379216197. The reversal of 2379216168 is 8616129732.

2379216168 is a `hidden beast` number, since 2 + 3 + 7 + 9 + 21 + 616 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2377732644 + 1483524 = 48762^2 + 1218^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2176230 + ... + 2177322.

Almost surely, 2^2379216168 is an apocalyptic number.

2379216168 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 2379216168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757381290).

2379216168 is an abundant number, since it is smaller than the sum of its proper divisors (5135546412).

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

2379216168 is a wasteful number, since it uses less digits than its factorization.

2379216168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1722 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2379216168 is about 48777.2095142803. The cubic root of 2379216168 is about 1334.9898614725.

The spelling of 2379216168 in words is "two billion, three hundred seventy-nine million, two hundred sixteen thousand, one hundred sixty-eight".