2144384352 has 288 divisors, whose sum is σ = 7291982880. Its totient is φ = 590069760.

The previous prime is 2144384351. The next prime is 2144384383. The reversal of 2144384352 is 2534834412.

2144384352 is a `hidden beast` number, since 214 + 4 + 3 + 8 + 435 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144384351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1561138 + ... + 1562510.

It is an arithmetic number, because the mean of its divisors is an integer number (25319385).

Almost surely, 2^2144384352 is an apocalyptic number.

2144384352 is a gapful number since it is divisible by the number (22) 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 2144384352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645991440).

2144384352 is an abundant number, since it is smaller than the sum of its proper divisors (5147598528).

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

2144384352 is a wasteful number, since it uses less digits than its factorization.

2144384352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1435 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2144384352 is about 46307.4977946336. The cubic root of 2144384352 is about 1289.5381941719.

The spelling of 2144384352 in words is "two billion, one hundred forty-four million, three hundred eighty-four thousand, three hundred fifty-two".