2442024224442 has 128 divisors (see below), whose sum is σ = 6113384202240. Its totient is φ = 715860072000.

The previous prime is 2442024224389. The next prime is 2442024224449. The reversal of 2442024224442 is 2444224202442.

2442024224442 is a `hidden beast` number, since 2 + 4 + 4 + 202 + 4 + 2 + 2 + 4 + 442 = 666.

It is a super-2 number, since 2×2442024224442² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2442024224397 and 2442024224406.

It is not an unprimeable number, because it can be changed into a prime (2442024224449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50448583 + ... + 50496965.

It is an arithmetic number, because the mean of its divisors is an integer number (47760814080).

Almost surely, 2^{2442024224442} is an apocalyptic number.

2442024224442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442024224442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056692101120).

2442024224442 is an abundant number, since it is smaller than the sum of its proper divisors (3671359977798).

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

2442024224442 is a wasteful number, since it uses less digits than its factorization.

2442024224442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51177 (or 51171 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 2442024224442 its reverse (2444224202442), we get a palindrome (4886248426884).

It can be divided in two parts, 244202 and 4224442, that added together give a palindrome (4468644).

The spelling of 2442024224442 in words is "two trillion, four hundred forty-two billion, twenty-four million, two hundred twenty-four thousand, four hundred forty-two".