2024214243440 has 80 divisors (see below), whose sum is σ = 4954335283200. Its totient is φ = 767018439936.

The previous prime is 2024214243397. The next prime is 2024214243449. The reversal of 2024214243440 is 443424124202.

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

It is a junction number, because it is equal to n+sod(n) for n = 2024214243397 and 2024214243406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024214243449) 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, 27991169 + ... + 28063391.

It is an arithmetic number, because the mean of its divisors is an integer number (61929191040).

Almost surely, 2^{2024214243440} is an apocalyptic number.

2024214243440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024214243440 is an abundant number, since it is smaller than the sum of its proper divisors (2930121039760).

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

2024214243440 is a wasteful number, since it uses less digits than its factorization.

2024214243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90694 (or 90688 counting only the distinct ones).

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

Adding to 2024214243440 its reverse (443424124202), we get a palindrome (2467638367642).

The spelling of 2024214243440 in words is "two trillion, twenty-four billion, two hundred fourteen million, two hundred forty-three thousand, four hundred forty".