2212565068800 has 2112 divisors, whose sum is σ = 9167048985600. Its totient is φ = 520224768000.

The previous prime is 2212565068787. The next prime is 2212565068837. The reversal of 2212565068800 is 88605652122.

It is a happy number.

2212565068800 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 565 + 0 + 6 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14652748725 + ... + 14652748875.

It is an arithmetic number, because the mean of its divisors is an integer number (4340458800).

Almost surely, 2^{2212565068800} is an apocalyptic number.

2212565068800 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 2212565068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583524492800).

2212565068800 is an abundant number, since it is smaller than the sum of its proper divisors (6954483916800).

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

2212565068800 is a wasteful number, since it uses less digits than its factorization.

2212565068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 2212565068800 in words is "two trillion, two hundred twelve billion, five hundred sixty-five million, sixty-eight thousand, eight hundred".