2024042242000 has 80 divisors (see below), whose sum is σ = 4910839092432. Its totient is φ = 806853465600.

The previous prime is 2024042241997. The next prime is 2024042242009. The reversal of 2024042242000 is 2422404202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 127869177744 + 1896173064256 = 357588^2 + 1377016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024042242009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140999 + ... + 2312998.

Almost surely, 2^{2024042242000} is an apocalyptic number.

2024042242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024042242000 is an abundant number, since it is smaller than the sum of its proper divisors (2886796850432).

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

2024042242000 is a wasteful number, since it uses less digits than its factorization.

2024042242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454313 (or 3454297 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2024042242000 its reverse (2422404202), we get a palindrome (2026464646202).

The spelling of 2024042242000 in words is "two trillion, twenty-four billion, forty-two million, two hundred forty-two thousand".