2005224480 has 288 divisors, whose sum is σ = 7857053568. Its totient is φ = 456192000.

The previous prime is 2005224427. The next prime is 2005224499. The reversal of 2005224480 is 844225002.

It is a happy number.

2005224480 is a `hidden beast` number, since 20 + 0 + 522 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3336180 + ... + 3336780.

It is an arithmetic number, because the mean of its divisors is an integer number (27281436).

Almost surely, 2^2005224480 is an apocalyptic number.

2005224480 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 2005224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928526784).

2005224480 is an abundant number, since it is smaller than the sum of its proper divisors (5851829088).

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

2005224480 is a wasteful number, since it uses less digits than its factorization.

2005224480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2005224480 is about 44779.7329156841. The cubic root of 2005224480 is about 1261.0171680614.

Adding to 2005224480 its reverse (844225002), we get a palindrome (2849449482).

The spelling of 2005224480 in words is "two billion, five million, two hundred twenty-four thousand, four hundred eighty".