2261817792 has 252 divisors, whose sum is σ = 7311328024. Its totient is φ = 664519680.

The previous prime is 2261817763. The next prime is 2261817797. The reversal of 2261817792 is 2977181622.

It is a happy number.

2261817792 is a `hidden beast` number, since 22 + 618 + 1 + 7 + 7 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261817797) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3960867 + ... + 3961437.

Almost surely, 2^2261817792 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 2261817792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655664012).

2261817792 is an abundant number, since it is smaller than the sum of its proper divisors (5049510232).

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

2261817792 is a wasteful number, since it uses less digits than its factorization.

2261817792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 612 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 2261817792 is about 47558.5722241532. The cubic root of 2261817792 is about 1312.6608682278.

The spelling of 2261817792 in words is "two billion, two hundred sixty-one million, eight hundred seventeen thousand, seven hundred ninety-two".