2213405568 has 384 divisors, whose sum is σ = 7379904000. Its totient is φ = 652354560.

The previous prime is 2213405563. The next prime is 2213405569. The reversal of 2213405568 is 8655043122.

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

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213405563) 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, 28017753 + ... + 28017831.

It is an arithmetic number, because the mean of its divisors is an integer number (19218500).

Almost surely, 2^2213405568 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 2213405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689952000).

2213405568 is an abundant number, since it is smaller than the sum of its proper divisors (5166498432).

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

2213405568 is a wasteful number, since it uses less digits than its factorization.

2213405568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2213405568 is about 47046.8444000233. The cubic root of 2213405568 is about 1303.2277912601.

The spelling of 2213405568 in words is "two billion, two hundred thirteen million, four hundred five thousand, five hundred sixty-eight".