2221435008 has 384 divisors, whose sum is σ = 7477579200. Its totient is φ = 627056640.

The previous prime is 2221434979. The next prime is 2221435009. The reversal of 2221435008 is 8005341222.

2221435008 is a `hidden beast` number, since 2 + 221 + 435 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2221435009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10528023 + ... + 10528233.

Almost surely, 2^2221435008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221435008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738789600).

2221435008 is an abundant number, since it is smaller than the sum of its proper divisors (5256144192).

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

2221435008 is a wasteful number, since it uses less digits than its factorization.

2221435008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2221435008 is about 47132.1016717905. The cubic root of 2221435008 is about 1304.8017702163.

The spelling of 2221435008 in words is "two billion, two hundred twenty-one million, four hundred thirty-five thousand, eight".