2024042020 has 324 divisors, whose sum is σ = 5943291732. Its totient is φ = 576576000.

The previous prime is 2024041993. The next prime is 2024042029. The reversal of 2024042020 is 202404202.

It can be written as a sum of positive squares in 6 ways, for example, as 56942116 + 1967099904 = 7546^2 + 44352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2024041985 and 2024042003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024042029) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20039970 + ... + 20040070.

It is an arithmetic number, because the mean of its divisors is an integer number (18343493).

Almost surely, 2^2024042020 is an apocalyptic number.

2024042020 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 2024042020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971645866).

2024042020 is an abundant number, since it is smaller than the sum of its proper divisors (3919249712).

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

2024042020 is a wasteful number, since it uses less digits than its factorization.

2024042020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2024042020 is about 44989.3545185970. The cubic root of 2024042020 is about 1264.9494623792.

Adding to 2024042020 its reverse (202404202), we get a palindrome (2226446222).

The spelling of 2024042020 in words is "two billion, twenty-four million, forty-two thousand, twenty".