2212768006500 has 192 divisors, whose sum is σ = 6610572783360. Its totient is φ = 574974028800.

The previous prime is 2212768006499. The next prime is 2212768006507. The reversal of 2212768006500 is 56008672122.

It is not an unprimeable number, because it can be changed into a prime (2212768006507) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8966766 + ... + 9210234.

It is an arithmetic number, because the mean of its divisors is an integer number (34430066580).

Almost surely, 2^{2212768006500} is an apocalyptic number.

2212768006500 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 2212768006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305286391680).

2212768006500 is an abundant number, since it is smaller than the sum of its proper divisors (4397804776860).

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

2212768006500 is a wasteful number, since it uses less digits than its factorization.

2212768006500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243647 (or 243635 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 2212768006500 in words is "two trillion, two hundred twelve billion, seven hundred sixty-eight million, six thousand, five hundred".