2024224020 has 576 divisors, whose sum is σ = 8218828800. Its totient is φ = 406467072.

The previous prime is 2024223959. The next prime is 2024224063. The reversal of 2024224020 is 204224202.

2024224020 is a `hidden beast` number, since 20 + 242 + 2 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2024223984 and 2024224002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10171881 + ... + 10172079.

It is an arithmetic number, because the mean of its divisors is an integer number (14268800).

Almost surely, 2^2024224020 is an apocalyptic number.

2024224020 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 2024224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109414400).

2024224020 is an abundant number, since it is smaller than the sum of its proper divisors (6194604780).

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

2024224020 is a wasteful number, since it uses less digits than its factorization.

2024224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2024224020 is about 44991.3771738541. The cubic root of 2024224020 is about 1264.9873756076.

Adding to 2024224020 its reverse (204224202), we get a palindrome (2228448222).

The spelling of 2024224020 in words is "two billion, twenty-four million, two hundred twenty-four thousand, twenty".