2244264192 has 288 divisors, whose sum is σ = 7299532800. Its totient is φ = 676988928.

The previous prime is 2244264181. The next prime is 2244264203. The reversal of 2244264192 is 2914624422.

2244264192 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 2 + 641 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2244264181) and next prime (2244264203).

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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3020173 + ... + 3020915.

It is an arithmetic number, because the mean of its divisors is an integer number (25345600).

Almost surely, 2^2244264192 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 2244264192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649766400).

2244264192 is an abundant number, since it is smaller than the sum of its proper divisors (5055268608).

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

2244264192 is a wasteful number, since it uses less digits than its factorization.

2244264192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 790 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2244264192 is about 47373.6655959828. The cubic root of 2244264192 is about 1309.2562629513.

The spelling of 2244264192 in words is "two billion, two hundred forty-four million, two hundred sixty-four thousand, one hundred ninety-two".