2226168000 has 504 divisors, whose sum is σ = 9278197344. Its totient is φ = 508032000.

The previous prime is 2226167989. The next prime is 2226168029. The reversal of 2226168000 is 8616222.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3527685 + ... + 3528315.

Almost surely, 2^2226168000 is an apocalyptic number.

2226168000 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 2226168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639098672).

2226168000 is an abundant number, since it is smaller than the sum of its proper divisors (7052029344).

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

2226168000 is a wasteful number, since it uses less digits than its factorization.

2226168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2226168000 is about 47182.2848111450. The cubic root of 2226168000 is about 1305.7277835930.

The spelling of 2226168000 in words is "two billion, two hundred twenty-six million, one hundred sixty-eight thousand".