2144133882 has 64 divisors (see below), whose sum is σ = 5208192000. Its totient is φ = 648451440.

The previous prime is 2144133851. The next prime is 2144133883. The reversal of 2144133882 is 2883314412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2144133883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321619 + ... + 328217.

It is an arithmetic number, because the mean of its divisors is an integer number (81378000).

Almost surely, 2^2144133882 is an apocalyptic number.

2144133882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144133882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604096000).

2144133882 is an abundant number, since it is smaller than the sum of its proper divisors (3064058118).

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

2144133882 is a wasteful number, since it uses less digits than its factorization.

2144133882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168 (or 7162 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2144133882 is about 46304.7932939993. The cubic root of 2144133882 is about 1289.4879850124.

The spelling of 2144133882 in words is "two billion, one hundred forty-four million, one hundred thirty-three thousand, eight hundred eighty-two".