2121805224 has 384 divisors, whose sum is σ = 7763558400. Its totient is φ = 506603520.

The previous prime is 2121805193. The next prime is 2121805229. The reversal of 2121805224 is 4225081212.

It is not an unprimeable number, because it can be changed into a prime (2121805229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4429417 + ... + 4429895.

It is an arithmetic number, because the mean of its divisors is an integer number (20217600).

Almost surely, 2^2121805224 is an apocalyptic number.

2121805224 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 2121805224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881779200).

2121805224 is an abundant number, since it is smaller than the sum of its proper divisors (5641753176).

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

2121805224 is a wasteful number, since it uses less digits than its factorization.

2121805224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2121805224 is about 46063.0570414079. The cubic root of 2121805224 is about 1284.9961844376.

Adding to 2121805224 its reverse (4225081212), we get a palindrome (6346886436).

The spelling of 2121805224 in words is "two billion, one hundred twenty-one million, eight hundred five thousand, two hundred twenty-four".