2181108006 has 192 divisors, whose sum is σ = 6235891200. Its totient is φ = 552847680.

The previous prime is 2181107989. The next prime is 2181108011. The reversal of 2181108006 is 6008011812.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1966180 + ... + 1967288.

It is an arithmetic number, because the mean of its divisors is an integer number (32478600).

Almost surely, 2^2181108006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2181108006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117945600).

2181108006 is an abundant number, since it is smaller than the sum of its proper divisors (4054783194).

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

2181108006 is a wasteful number, since it uses less digits than its factorization.

2181108006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 2181108006 is about 46702.3340530214. The cubic root of 2181108006 is about 1296.8578960620.

Adding to 2181108006 its reverse (6008011812), we get a palindrome (8189119818).

The spelling of 2181108006 in words is "two billion, one hundred eighty-one million, one hundred eight thousand, six".