2144133888 has 288 divisors, whose sum is σ = 6593126400. Its totient is φ = 613122048.

The previous prime is 2144133883. The next prime is 2144133913. The reversal of 2144133888 is 8883314412.

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

It is a zygodrome in base 2.

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, 16882881 + ... + 16883007.

It is an arithmetic number, because the mean of its divisors is an integer number (22892800).

Almost surely, 2^2144133888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144133888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296563200).

2144133888 is an abundant number, since it is smaller than the sum of its proper divisors (4448992512).

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

2144133888 is a wasteful number, since it uses less digits than its factorization.

2144133888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 2144133888 is about 46304.7933587874. The cubic root of 2144133888 is about 1289.4879862152.

It can be divided in two parts, 21441338 and 88, that added together give a triangular number (21441426 = T₆₅₄₈).

The spelling of 2144133888 in words is "two billion, one hundred forty-four million, one hundred thirty-three thousand, eight hundred eighty-eight".