2227166928000 has 3072 divisors, whose sum is σ = 10286535168000. Its totient is φ = 467605094400.

The previous prime is 2227166927989. The next prime is 2227166928037. The reversal of 2227166928000 is 8296617222.

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 383 ways as a sum of consecutive naturals, for example, 30509135964 + ... + 30509136036.

It is an arithmetic number, because the mean of its divisors is an integer number (3348481500).

Almost surely, 2^{2227166928000} is an apocalyptic number.

2227166928000 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 2227166928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143267584000).

2227166928000 is an abundant number, since it is smaller than the sum of its proper divisors (8059368240000).

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

2227166928000 is an equidigital number, since it uses as much as digits as its factorization.

2227166928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2227166928000 in words is "two trillion, two hundred twenty-seven billion, one hundred sixty-six million, nine hundred twenty-eight thousand".