2221226506800 has 720 divisors, whose sum is σ = 9300214346400. Its totient is φ = 501993676800.

The previous prime is 2221226506789. The next prime is 2221226506817. The reversal of 2221226506800 is 86056221222.

2221226506800 is a `hidden beast` number, since 2 + 22 + 122 + 6 + 506 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 47075220 + ... + 47122380.

It is an arithmetic number, because the mean of its divisors is an integer number (12916964370).

Almost surely, 2^{2221226506800} is an apocalyptic number.

2221226506800 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 2221226506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650107173200).

2221226506800 is an abundant number, since it is smaller than the sum of its proper divisors (7078987839600).

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

2221226506800 is a wasteful number, since it uses less digits than its factorization.

2221226506800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47291 (or 47267 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2221226506800 in words is "two trillion, two hundred twenty-one billion, two hundred twenty-six million, five hundred six thousand, eight hundred".