2226216960 has 560 divisors, whose sum is σ = 8849179152. Its totient is φ = 530841600.

The previous prime is 2226216959. The next prime is 2226217003. The reversal of 2226216960 is 696126222.

2226216960 is a `hidden beast` number, since 2 + 22 + 621 + 6 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36495330 + ... + 36495390.

Almost surely, 2^2226216960 is an apocalyptic number.

2226216960 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 2226216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424589576).

2226216960 is an abundant number, since it is smaller than the sum of its proper divisors (6622962192).

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

2226216960 is an equidigital number, since it uses as much as digits as its factorization.

2226216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2226216960 is about 47182.8036470916. The cubic root of 2226216960 is about 1305.7373557912.

The spelling of 2226216960 in words is "two billion, two hundred twenty-six million, two hundred sixteen thousand, nine hundred sixty".