2213158216800 has 72 divisors (see below), whose sum is σ = 7203830003496. Its totient is φ = 590175523840.

The previous prime is 2213158216729. The next prime is 2213158216811. The reversal of 2213158216800 is 86128513122.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 461072229 + ... + 461077028.

It is an arithmetic number, because the mean of its divisors is an integer number (100053194493).

Almost surely, 2^{2213158216800} is an apocalyptic number.

2213158216800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213158216800 is an abundant number, since it is smaller than the sum of its proper divisors (4990671786696).

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

2213158216800 is a wasteful number, since it uses less digits than its factorization.

2213158216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922149280 (or 922149267 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 2213158216800 in words is "two trillion, two hundred thirteen billion, one hundred fifty-eight million, two hundred sixteen thousand, eight hundred".