2186221456800 has 864 divisors, whose sum is σ = 8603694328320. Its totient is φ = 520009113600.

The previous prime is 2186221456789. The next prime is 2186221456813. The reversal of 2186221456800 is 86541226812.

2186221456800 is a `hidden beast` number, since 2 + 1 + 8 + 62 + 21 + 4 + 568 + 0 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156902634 + ... + 156916566.

Almost surely, 2^{2186221456800} is an apocalyptic number.

2186221456800 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 2186221456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301847164160).

2186221456800 is an abundant number, since it is smaller than the sum of its proper divisors (6417472871520).

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

2186221456800 is a wasteful number, since it uses less digits than its factorization.

2186221456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14046 (or 14030 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2186221456800 in words is "two trillion, one hundred eighty-six billion, two hundred twenty-one million, four hundred fifty-six thousand, eight hundred".