2244430847232 has 864 divisors, whose sum is σ = 8390067302400. Its totient is φ = 587865600000.

The previous prime is 2244430847227. The next prime is 2244430847311. The reversal of 2244430847232 is 2327480344422.

2244430847232 is a `hidden beast` number, since 2 + 2 + 44 + 430 + 84 + 72 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 199481607 + ... + 199492857.

Almost surely, 2^{2244430847232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244430847232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195033651200).

2244430847232 is an abundant number, since it is smaller than the sum of its proper divisors (6145636455168).

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

2244430847232 is a wasteful number, since it uses less digits than its factorization.

2244430847232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11340 (or 11313 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 45.

The spelling of 2244430847232 in words is "two trillion, two hundred forty-four billion, four hundred thirty million, eight hundred forty-seven thousand, two hundred thirty-two".