2024343100040 has 96 divisors (see below), whose sum is σ = 4627093222080. Its totient is φ = 797078164608.

The previous prime is 2024343100009. The next prime is 2024343100063. The reversal of 2024343100040 is 400013434202.

It is a junction number, because it is equal to n+sod(n) for n = 2024343099979 and 2024343100015.

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 23 ways as a sum of consecutive naturals, for example, 320152319 + ... + 320158641.

It is an arithmetic number, because the mean of its divisors is an integer number (48198887730).

Almost surely, 2^{2024343100040} is an apocalyptic number.

2024343100040 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 2024343100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313546611040).

2024343100040 is an abundant number, since it is smaller than the sum of its proper divisors (2602750122040).

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

2024343100040 is a wasteful number, since it uses less digits than its factorization.

2024343100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 2024343100040 its reverse (400013434202), we get a palindrome (2424356534242).

The spelling of 2024343100040 in words is "two trillion, twenty-four billion, three hundred forty-three million, one hundred thousand, forty".