2226466882800 has 240 divisors, whose sum is σ = 8108866951680. Its totient is φ = 579916834560.

The previous prime is 2226466882789. The next prime is 2226466882853. The reversal of 2226466882800 is 82886646222.

2226466882800 is a `hidden beast` number, since 2 + 2 + 26 + 466 + 8 + 82 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1932744 + ... + 2861543.

It is an arithmetic number, because the mean of its divisors is an integer number (33786945632).

Almost surely, 2^{2226466882800} is an apocalyptic number.

2226466882800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226466882800 is an abundant number, since it is smaller than the sum of its proper divisors (5882400068880).

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

2226466882800 is a wasteful number, since it uses less digits than its factorization.

2226466882800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794357 (or 4794340 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 2226466882800 in words is "two trillion, two hundred twenty-six billion, four hundred sixty-six million, eight hundred eighty-two thousand, eight hundred".