2218209364800 has 3024 divisors, whose sum is σ = 10057544609280. Its totient is φ = 480370176000.

The previous prime is 2218209364781. The next prime is 2218209364807. The reversal of 2218209364800 is 84639028122.

2218209364800 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 209 + 364 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218209364807) 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 431 ways as a sum of consecutive naturals, for example, 71555140785 + ... + 71555140815.

Almost surely, 2^{2218209364800} is an apocalyptic number.

2218209364800 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 2218209364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028772304640).

2218209364800 is an abundant number, since it is smaller than the sum of its proper divisors (7839335244480).

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

2218209364800 is a wasteful number, since it uses less digits than its factorization.

2218209364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2218209364800 in words is "two trillion, two hundred eighteen billion, two hundred nine million, three hundred sixty-four thousand, eight hundred".