2261715273216 has 240 divisors, whose sum is σ = 7464193761024. Its totient is φ = 645837484032.

The previous prime is 2261715273193. The next prime is 2261715273253. The reversal of 2261715273216 is 6123725171622.

2261715273216 is a `hidden beast` number, since 2 + 2 + 617 + 1 + 5 + 2 + 7 + 3 + 21 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59557851 + ... + 59595813.

Almost surely, 2^{2261715273216} 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 2261715273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732096880512).

2261715273216 is an abundant number, since it is smaller than the sum of its proper divisors (5202478487808).

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

2261715273216 is a wasteful number, since it uses less digits than its factorization.

2261715273216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39841 (or 39822 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 2261715273216 in words is "two trillion, two hundred sixty-one billion, seven hundred fifteen million, two hundred seventy-three thousand, two hundred sixteen".