2226685440 has 480 divisors, whose sum is σ = 8503143264. Its totient is φ = 495452160.

The previous prime is 2226685427. The next prime is 2226685451. The reversal of 2226685440 is 445866222.

It is a tau number, because it is divible by the number of its divisors (480).

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, 22955472 + ... + 22955568.

Almost surely, 2^2226685440 is an apocalyptic number.

2226685440 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 2226685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251571632).

2226685440 is an abundant number, since it is smaller than the sum of its proper divisors (6276457824).

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

2226685440 is an equidigital number, since it uses as much as digits as its factorization.

2226685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 2226685440 is about 47187.7679065243. The cubic root of 2226685440 is about 1305.8289414936.

The spelling of 2226685440 in words is "two billion, two hundred twenty-six million, six hundred eighty-five thousand, four hundred forty".