2181837168 has 160 divisors (see below), whose sum is σ = 7248742400. Its totient is φ = 615423744.

The previous prime is 2181837101. The next prime is 2181837173. The reversal of 2181837168 is 8617381812.

It is a happy number.

2181837168 is a `hidden beast` number, since 218 + 1 + 8 + 371 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234330 + ... + 243462.

It is an arithmetic number, because the mean of its divisors is an integer number (45304640).

Almost surely, 2^2181837168 is an apocalyptic number.

2181837168 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 2181837168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624371200).

2181837168 is an abundant number, since it is smaller than the sum of its proper divisors (5066905232).

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

2181837168 is a wasteful number, since it uses less digits than its factorization.

2181837168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9236 (or 9224 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 2181837168 is about 46710.1398841836. The cubic root of 2181837168 is about 1297.0023966458.

The spelling of 2181837168 in words is "two billion, one hundred eighty-one million, eight hundred thirty-seven thousand, one hundred sixty-eight".