2226609000 has 1152 divisors, whose sum is σ = 10486869120. Its totient is φ = 435456000.

The previous prime is 2226608963. The next prime is 2226609013. The reversal of 2226609000 is 9066222.

2226609000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 130976992 + ... + 130977008.

It is an arithmetic number, because the mean of its divisors is an integer number (9103185).

Almost surely, 2^2226609000 is an apocalyptic number.

2226609000 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 2226609000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243434560).

2226609000 is an abundant number, since it is smaller than the sum of its proper divisors (8260260120).

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

2226609000 is a wasteful number, since it uses less digits than its factorization.

2226609000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2226609000 is about 47186.9579439065. The cubic root of 2226609000 is about 1305.8139986995.

The spelling of 2226609000 in words is "two billion, two hundred twenty-six million, six hundred nine thousand".