2261976192 has 224 divisors, whose sum is σ = 7723750080. Its totient is φ = 646092288.

The previous prime is 2261976187. The next prime is 2261976203. The reversal of 2261976192 is 2916791622.

2261976192 is a `hidden beast` number, since 2 + 26 + 1 + 9 + 7 + 619 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 651453 + ... + 654915.

Almost surely, 2^2261976192 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 2261976192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861875040).

2261976192 is an abundant number, since it is smaller than the sum of its proper divisors (5461773888).

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

2261976192 is an frugal number, since it uses more digits than its factorization.

2261976192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3475 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 2261976192 is about 47560.2375099200. The cubic root of 2261976192 is about 1312.6915103406.

The spelling of 2261976192 in words is "two billion, two hundred sixty-one million, nine hundred seventy-six thousand, one hundred ninety-two".