2212275854880 has 1152 divisors, whose sum is σ = 9721806022656. Its totient is φ = 445641523200.

The previous prime is 2212275854863. The next prime is 2212275854939. The reversal of 2212275854880 is 884585722122.

2212275854880 is a `hidden beast` number, since 2 + 2 + 1 + 22 + 75 + 8 + 548 + 8 + 0 = 666.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 252509700 + ... + 252518460.

It is an arithmetic number, because the mean of its divisors is an integer number (8439067728).

Almost surely, 2^{2212275854880} is an apocalyptic number.

2212275854880 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 2212275854880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860903011328).

2212275854880 is an abundant number, since it is smaller than the sum of its proper divisors (7509530167776).

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

2212275854880 is a wasteful number, since it uses less digits than its factorization.

2212275854880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 2212275854880 in words is "two trillion, two hundred twelve billion, two hundred seventy-five million, eight hundred fifty-four thousand, eight hundred eighty".