2144241421224 has 384 divisors, whose sum is σ = 6472389888000. Its totient is φ = 579693611520.

The previous prime is 2144241421199. The next prime is 2144241421247. The reversal of 2144241421224 is 4221241424412.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2181323437 + ... + 2181324419.

It is an arithmetic number, because the mean of its divisors is an integer number (16855182000).

Almost surely, 2^{2144241421224} is an apocalyptic number.

2144241421224 is a gapful number since it is divisible by the number (24) 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 2144241421224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236194944000).

2144241421224 is an abundant number, since it is smaller than the sum of its proper divisors (4328148466776).

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

2144241421224 is a wasteful number, since it uses less digits than its factorization.

2144241421224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1314 counting only the distinct ones).

The product of its digits is 32768, while the sum is 33.

Adding to 2144241421224 its reverse (4221241424412), we get a palindrome (6365482845636).

The spelling of 2144241421224 in words is "two trillion, one hundred forty-four billion, two hundred forty-one million, four hundred twenty-one thousand, two hundred twenty-four".