2166831144 has 48 divisors (see below), whose sum is σ = 5871914100. Its totient is φ = 721857024.

The previous prime is 2166831143. The next prime is 2166831167. The reversal of 2166831144 is 4411386612.

It can be written as a sum of positive squares in 2 ways, for example, as 2165040900 + 1790244 = 46530^2 + 1338^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2166831099 and 2166831108.

It is not an unprimeable number, because it can be changed into a prime (2166831143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131392 + ... + 146960.

Almost surely, 2^2166831144 is an apocalyptic number.

2166831144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2166831144 is an abundant number, since it is smaller than the sum of its proper divisors (3705082956).

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

2166831144 is a wasteful number, since it uses less digits than its factorization.

2166831144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17514 (or 17507 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2166831144 is about 46549.2335490070. The cubic root of 2166831144 is about 1294.0220886527.

The spelling of 2166831144 in words is "two billion, one hundred sixty-six million, eight hundred thirty-one thousand, one hundred forty-four".