2144341440 has 168 divisors, whose sum is σ = 7397404560. Its totient is φ = 570138624.

The previous prime is 2144341439. The next prime is 2144341453. The reversal of 2144341440 is 441434412.

2144341440 is a `hidden beast` number, since 214 + 4 + 3 + 4 + 1 + 440 = 666.

It is a super-3 number, since 3×2144341440³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1205832 + ... + 1207608.

It is an arithmetic number, because the mean of its divisors is an integer number (44032170).

Almost surely, 2^2144341440 is an apocalyptic number.

2144341440 is a gapful number since it is divisible by the number (20) 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 2144341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698702280).

2144341440 is an abundant number, since it is smaller than the sum of its proper divisors (5253063120).

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

2144341440 is a wasteful number, since it uses less digits than its factorization.

2144341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2144341440 is about 46307.0344548212. The cubic root of 2144341440 is about 1289.5295923197.

Adding to 2144341440 its reverse (441434412), we get a palindrome (2585775852).

The spelling of 2144341440 in words is "two billion, one hundred forty-four million, three hundred forty-one thousand, four hundred forty".