2144282343840 has 1728 divisors, whose sum is σ = 9768921926400. Its totient is φ = 423054213120.

The previous prime is 2144282343769. The next prime is 2144282343851. The reversal of 2144282343840 is 483432824412.

2144282343840 is a `hidden beast` number, since 2 + 14 + 4 + 28 + 234 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3103157895 + ... + 3103158585.

It is an arithmetic number, because the mean of its divisors is an integer number (5653311300).

Almost surely, 2^{2144282343840} is an apocalyptic number.

2144282343840 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 2144282343840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884460963200).

2144282343840 is an abundant number, since it is smaller than the sum of its proper divisors (7624639582560).

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

2144282343840 is a wasteful number, since it uses less digits than its factorization.

2144282343840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 2144282343840 in words is "two trillion, one hundred forty-four billion, two hundred eighty-two million, three hundred forty-three thousand, eight hundred forty".