2122440030144 has 336 divisors, whose sum is σ = 7323445043200. Its totient is φ = 586848084480.

The previous prime is 2122440030101. The next prime is 2122440030149. The reversal of 2122440030144 is 4410300442212.

2122440030144 is a `hidden beast` number, since 2 + 1 + 224 + 400 + 30 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122440030149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5951337 + ... + 6297879.

Almost surely, 2^{2122440030144} is an apocalyptic number.

2122440030144 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 2122440030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661722521600).

2122440030144 is an abundant number, since it is smaller than the sum of its proper divisors (5201005013056).

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

2122440030144 is a wasteful number, since it uses less digits than its factorization.

2122440030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346613 (or 346586 counting only the distinct ones).

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

Adding to 2122440030144 its reverse (4410300442212), we get a palindrome (6532740472356).

The spelling of 2122440030144 in words is "two trillion, one hundred twenty-two billion, four hundred forty million, thirty thousand, one hundred forty-four".