2224164096 has 540 divisors, whose sum is σ = 8458480800. Its totient is φ = 574801920.

The previous prime is 2224164029. The next prime is 2224164139. The reversal of 2224164096 is 6904614222.

2224164096 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 1 + 640 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2224164096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11176605 + ... + 11176803.

Almost surely, 2^2224164096 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 2224164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229240400).

2224164096 is an abundant number, since it is smaller than the sum of its proper divisors (6234316704).

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

2224164096 is a wasteful number, since it uses less digits than its factorization.

2224164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2224164096 is about 47161.0442632476. The cubic root of 2224164096 is about 1305.3358786656.

The spelling of 2224164096 in words is "two billion, two hundred twenty-four million, one hundred sixty-four thousand, ninety-six".