2226642000 has 240 divisors, whose sum is σ = 7893203136. Its totient is φ = 539616000.

The previous prime is 2226641971. The next prime is 2226642013. The reversal of 2226642000 is 2466222.

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 (24).

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, 724467 + ... + 727533.

Almost surely, 2^2226642000 is an apocalyptic number.

2226642000 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 2226642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946601568).

2226642000 is an abundant number, since it is smaller than the sum of its proper divisors (5666561136).

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

2226642000 is a wasteful number, since it uses less digits than its factorization.

2226642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2226642000 is about 47187.3076155019. The cubic root of 2226642000 is about 1305.8204497122.

The spelling of 2226642000 in words is "two billion, two hundred twenty-six million, six hundred forty-two thousand".