2004250224 has 80 divisors (see below), whose sum is σ = 5551787520. Its totient is φ = 620805120.

The previous prime is 2004250217. The next prime is 2004250243. The reversal of 2004250224 is 4220524002.

It is a super-3 number, since 3×2004250224³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2004250224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48919 + ... + 80009.

It is an arithmetic number, because the mean of its divisors is an integer number (69397344).

Almost surely, 2^2004250224 is an apocalyptic number.

2004250224 is a gapful number since it is divisible by the number (24) 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 2004250224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775893760).

2004250224 is an abundant number, since it is smaller than the sum of its proper divisors (3547537296).

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

2004250224 is a wasteful number, since it uses less digits than its factorization.

2004250224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31198 (or 31192 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 2004250224 is about 44768.8532799311. The cubic root of 2004250224 is about 1260.8129095398.

Adding to 2004250224 its reverse (4220524002), we get a palindrome (6224774226).

The spelling of 2004250224 in words is "two billion, four million, two hundred fifty thousand, two hundred twenty-four".