2042224144000 has 256 divisors, whose sum is σ = 5383042647840. Its totient is φ = 767852544000.

The previous prime is 2042224143979. The next prime is 2042224144013. The reversal of 2042224144000 is 4414222402.

It can be written as a sum of positive squares in 16 ways, for example, as 6899628096 + 2035324515904 = 83064^2 + 1426648^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233099620 + ... + 233108380.

Almost surely, 2^{2042224144000} is an apocalyptic number.

2042224144000 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 2042224144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691521323920).

2042224144000 is an abundant number, since it is smaller than the sum of its proper divisors (3340818503840).

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

2042224144000 is an equidigital number, since it uses as much as digits as its factorization.

2042224144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9664 (or 9642 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 2042224144000 its reverse (4414222402), we get a palindrome (2046638366402).

The spelling of 2042224144000 in words is "two trillion, forty-two billion, two hundred twenty-four million, one hundred forty-four thousand".