2242010124144 has 360 divisors, whose sum is σ = 7558791318000. Its totient is φ = 617815683072.

The previous prime is 2242010124083. The next prime is 2242010124181. The reversal of 2242010124144 is 4414210102422.

2242010124144 is a `hidden beast` number, since 2 + 242 + 0 + 1 + 0 + 1 + 2 + 414 + 4 = 666.

It is a super-3 number, since 3×2242010124144³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206460187 + ... + 206471045.

It is an arithmetic number, because the mean of its divisors is an integer number (20996642550).

Almost surely, 2^{2242010124144} is an apocalyptic number.

2242010124144 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 2242010124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779395659000).

2242010124144 is an abundant number, since it is smaller than the sum of its proper divisors (5316781193856).

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

2242010124144 is a wasteful number, since it uses less digits than its factorization.

2242010124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11925 (or 11909 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2242010124144 its reverse (4414210102422), we get a palindrome (6656220226566).

The spelling of 2242010124144 in words is "two trillion, two hundred forty-two billion, ten million, one hundred twenty-four thousand, one hundred forty-four".