2228812185600 has 2448 divisors, whose sum is σ = 10790821676544. Its totient is φ = 424673280000.

The previous prime is 2228812185599. The next prime is 2228812185637. The reversal of 2228812185600 is 65812188222.

2228812185600 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 81 + 2 + 1 + 8 + 560 + 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14760345525 + ... + 14760345675.

Almost surely, 2^{2228812185600} is an apocalyptic number.

2228812185600 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 2228812185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395410838272).

2228812185600 is an abundant number, since it is smaller than the sum of its proper divisors (8562009490944).

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

2228812185600 is a wasteful number, since it uses less digits than its factorization.

2228812185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 2228812185600 in words is "two trillion, two hundred twenty-eight billion, eight hundred twelve million, one hundred eighty-five thousand, six hundred".