2212819793536 has 128 divisors (see below), whose sum is σ = 5113318752000. Its totient is φ = 942697512960.

The previous prime is 2212819793531. The next prime is 2212819793551. The reversal of 2212819793536 is 6353979182122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2212819793531) 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 15 ways as a sum of consecutive naturals, for example, 5527300 + ... + 5914108.

It is an arithmetic number, because the mean of its divisors is an integer number (39947802750).

Almost surely, 2^{2212819793536} 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 2212819793536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556659376000).

2212819793536 is an abundant number, since it is smaller than the sum of its proper divisors (2900498958464).

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

2212819793536 is a wasteful number, since it uses less digits than its factorization.

2212819793536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387090 (or 387078 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 58.

The spelling of 2212819793536 in words is "two trillion, two hundred twelve billion, eight hundred nineteen million, seven hundred ninety-three thousand, five hundred thirty-six".