2024222240000 has 90 divisors (see below), whose sum is σ = 5049055886490. Its totient is φ = 809688832000.

The previous prime is 2024222239987. The next prime is 2024222240011. The reversal of 2024222240000 is 422224202.

It can be written as a sum of positive squares in 5 ways, for example, as 271966422016 + 1752255817984 = 521504^2 + 1323728^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 9 ways as a sum of consecutive naturals, for example, 6165695 + ... + 6485694.

It is an arithmetic number, because the mean of its divisors is an integer number (56100620961).

Almost surely, 2^{2024222240000} is an apocalyptic number.

2024222240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024222240000 is an abundant number, since it is smaller than the sum of its proper divisors (3024833646490).

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

2024222240000 is an frugal number, since it uses more digits than its factorization.

2024222240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12651425 (or 12651396 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2024222240000 its reverse (422224202), we get a palindrome (2024644464202).

The spelling of 2024222240000 in words is "two trillion, twenty-four billion, two hundred twenty-two million, two hundred forty thousand".