2243085312000 has 448 divisors, whose sum is σ = 8038870205184. Its totient is φ = 552134246400.

The previous prime is 2243085311963. The next prime is 2243085312001. The reversal of 2243085312000 is 2135803422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2243085312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39907917 + ... + 39964083.

It is an arithmetic number, because the mean of its divisors is an integer number (17943906708).

Almost surely, 2^{2243085312000} is an apocalyptic number.

2243085312000 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 2243085312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019435102592).

2243085312000 is an abundant number, since it is smaller than the sum of its proper divisors (5795784893184).

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

2243085312000 is an equidigital number, since it uses as much as digits as its factorization.

2243085312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56224 (or 56190 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 2243085312000 in words is "two trillion, two hundred forty-three billion, eighty-five million, three hundred twelve thousand".