2243311340292 has 240 divisors, whose sum is σ = 6472630348800. Its totient is φ = 671863896000.

The previous prime is 2243311340261. The next prime is 2243311340293. The reversal of 2243311340292 is 2920431133422.

2243311340292 is a `hidden beast` number, since 2 + 2 + 4 + 331 + 1 + 34 + 0 + 292 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2243311340293) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 107084163 + ... + 107105109.

It is an arithmetic number, because the mean of its divisors is an integer number (26969293120).

Almost surely, 2^{2243311340292} is an apocalyptic number.

2243311340292 is a gapful number since it is divisible by the number (22) 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 2243311340292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236315174400).

2243311340292 is an abundant number, since it is smaller than the sum of its proper divisors (4229319008508).

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

2243311340292 is a wasteful number, since it uses less digits than its factorization.

2243311340292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21324 (or 21313 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2243311340292 in words is "two trillion, two hundred forty-three billion, three hundred eleven million, three hundred forty thousand, two hundred ninety-two".