2226817504800 has 1728 divisors, whose sum is σ = 9693583320960. Its totient is φ = 491612405760.

The previous prime is 2226817504781. The next prime is 2226817504853. The reversal of 2226817504800 is 84057186222.

2226817504800 is a `hidden beast` number, since 2 + 2 + 2 + 68 + 1 + 7 + 504 + 80 + 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5142765384 + ... + 5142765816.

It is an arithmetic number, because the mean of its divisors is an integer number (5609712570).

Almost surely, 2^{2226817504800} is an apocalyptic number.

2226817504800 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 2226817504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846791660480).

2226817504800 is an abundant number, since it is smaller than the sum of its proper divisors (7466765816160).

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

2226817504800 is a wasteful number, since it uses less digits than its factorization.

2226817504800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2226817504800 in words is "two trillion, two hundred twenty-six billion, eight hundred seventeen million, five hundred four thousand, eight hundred".