2031242244224 has 64 divisors (see below), whose sum is σ = 4116890799000. Its totient is φ = 998015262720.

The previous prime is 2031242244211. The next prime is 2031242244247. The reversal of 2031242244224 is 4224422421302.

It can be written as a sum of positive squares in 4 ways, for example, as 1330405378624 + 700836865600 = 1153432^2 + 837160^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2031242244224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8066594 + ... + 8314590.

Almost surely, 2^{2031242244224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031242244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058445399500).

2031242244224 is an abundant number, since it is smaller than the sum of its proper divisors (2085648554776).

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

2031242244224 is a wasteful number, since it uses less digits than its factorization.

2031242244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249121 (or 249109 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 2031242244224 its reverse (4224422421302), we get a palindrome (6255664665526).

The spelling of 2031242244224 in words is "two trillion, thirty-one billion, two hundred forty-two million, two hundred forty-four thousand, two hundred twenty-four".