2144131440 has 160 divisors (see below), whose sum is σ = 7274105856. Its totient is φ = 518138880.

The previous prime is 2144131421. The next prime is 2144131453. The reversal of 2144131440 is 441314412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2144131440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967774 + ... + 969986.

Almost surely, 2^2144131440 is an apocalyptic number.

2144131440 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 2144131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637052928).

2144131440 is an abundant number, since it is smaller than the sum of its proper divisors (5129974416).

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

2144131440 is a wasteful number, since it uses less digits than its factorization.

2144131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2144131440 is about 46304.7669252314. The cubic root of 2144131440 is about 1289.4874954704.

Adding to 2144131440 its reverse (441314412), we get a palindrome (2585445852).

The spelling of 2144131440 in words is "two billion, one hundred forty-four million, one hundred thirty-one thousand, four hundred forty".