2024414040 has 128 divisors (see below), whose sum is σ = 6640704000. Its totient is φ = 489630720.

The previous prime is 2024414039. The next prime is 2024414087. The reversal of 2024414040 is 404144202.

It is a junction number, because it is equal to n+sod(n) for n = 2024413998 and 2024414016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662436 + ... + 665484.

It is an arithmetic number, because the mean of its divisors is an integer number (51880500).

Almost surely, 2^2024414040 is an apocalyptic number.

2024414040 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 2024414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320352000).

2024414040 is an abundant number, since it is smaller than the sum of its proper divisors (4616289960).

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

2024414040 is a wasteful number, since it uses less digits than its factorization.

2024414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2024414040 is about 44993.4888622787. The cubic root of 2024414040 is about 1265.0269570930.

Adding to 2024414040 its reverse (404144202), we get a palindrome (2428558242).

The spelling of 2024414040 in words is "two billion, twenty-four million, four hundred fourteen thousand, forty".