2009903284224 has 540 divisors, whose sum is σ = 6439536509952. Its totient is φ = 603584593920.

The previous prime is 2009903284159. The next prime is 2009903284261. The reversal of 2009903284224 is 4224823099002.

It is a super-2 number, since 2×2009903284224² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2009903284224.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2265955909 + ... + 2265956795.

Almost surely, 2^{2009903284224} is an apocalyptic number.

2009903284224 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 2009903284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219768254976).

2009903284224 is an abundant number, since it is smaller than the sum of its proper divisors (4429633225728).

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

2009903284224 is a wasteful number, since it uses less digits than its factorization.

2009903284224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2009903284224 in words is "two trillion, nine billion, nine hundred three million, two hundred eighty-four thousand, two hundred twenty-four".