2166131184 has 80 divisors (see below), whose sum is σ = 6419112960. Its totient is φ = 616584960.

The previous prime is 2166131183. The next prime is 2166131213. The reversal of 2166131184 is 4811316612.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166131183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79162 + ... + 102950.

It is an arithmetic number, because the mean of its divisors is an integer number (80238912).

Almost surely, 2^2166131184 is an apocalyptic number.

2166131184 is a gapful number since it is divisible by the number (24) 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 2166131184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209556480).

2166131184 is an abundant number, since it is smaller than the sum of its proper divisors (4252981776).

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

2166131184 is a wasteful number, since it uses less digits than its factorization.

2166131184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24078 (or 24072 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 2166131184 is about 46541.7144505872. The cubic root of 2166131184 is about 1293.8827359622.

Adding to 2166131184 its reverse (4811316612), we get a palindrome (6977447796).

The spelling of 2166131184 in words is "two billion, one hundred sixty-six million, one hundred thirty-one thousand, one hundred eighty-four".