2220396192 has 288 divisors, whose sum is σ = 7601428800. Its totient is φ = 628701696.

The previous prime is 2220396181. The next prime is 2220396193. The reversal of 2220396192 is 2916930222.

2220396192 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 39 + 619 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2220396193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7577998 + ... + 7578290.

It is an arithmetic number, because the mean of its divisors is an integer number (26393850).

Almost surely, 2^2220396192 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 2220396192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800714400).

2220396192 is an abundant number, since it is smaller than the sum of its proper divisors (5381032608).

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

2220396192 is a wasteful number, since it uses less digits than its factorization.

2220396192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2220396192 is about 47121.0801234437. The cubic root of 2220396192 is about 1304.5983491109.

The spelling of 2220396192 in words is "two billion, two hundred twenty million, three hundred ninety-six thousand, one hundred ninety-two".