2243087048320 has 768 divisors, whose sum is σ = 6246526740480. Its totient is φ = 767667732480.

The previous prime is 2243087048317. The next prime is 2243087048353. The reversal of 2243087048320 is 238407803422.

It is a happy 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, 9626982924 + ... + 9626983156.

It is an arithmetic number, because the mean of its divisors is an integer number (8133498360).

Almost surely, 2^{2243087048320} is an apocalyptic number.

2243087048320 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 2243087048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123263370240).

2243087048320 is an abundant number, since it is smaller than the sum of its proper divisors (4003439692160).

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

2243087048320 is a wasteful number, since it uses less digits than its factorization.

2243087048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 2243087048320 in words is "two trillion, two hundred forty-three billion, eighty-seven million, forty-eight thousand, three hundred twenty".