2811223521792 has 800 divisors, whose sum is σ = 9839263104000. Its totient is φ = 798772617216.

The previous prime is 2811223521781. The next prime is 2811223521793. The reversal of 2811223521792 is 2971253221182.

2811223521792 is a `hidden beast` number, since 2 + 8 + 1 + 12 + 23 + 521 + 7 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (2811223521793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3257500753 + ... + 3257501615.

It is an arithmetic number, because the mean of its divisors is an integer number (12299078880).

Almost surely, 2^{2811223521792} 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 2811223521792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919631552000).

2811223521792 is an abundant number, since it is smaller than the sum of its proper divisors (7028039582208).

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

2811223521792 is an frugal number, since it uses more digits than its factorization.

2811223521792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1104 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 2811223521792 in words is "two trillion, eight hundred eleven billion, two hundred twenty-three million, five hundred twenty-one thousand, seven hundred ninety-two".