2020224000 has 176 divisors, whose sum is σ = 6721299936. Its totient is φ = 538624000.

The previous prime is 2020223987. The next prime is 2020224029. The reversal of 2020224000 is 4220202.

It is a happy number.

It is a super-3 number, since 3×2020224000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381370 + ... + 386630.

Almost surely, 2^2020224000 is an apocalyptic number.

2020224000 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 2020224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360649968).

2020224000 is an abundant number, since it is smaller than the sum of its proper divisors (4701075936).

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

2020224000 is an equidigital number, since it uses as much as digits as its factorization.

2020224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2020224000 is about 44946.9020067012. The cubic root of 2020224000 is about 1264.1535891985.

Adding to 2020224000 its reverse (4220202), we get a palindrome (2024444202).

The spelling of 2020224000 in words is "two billion, twenty million, two hundred twenty-four thousand".