2251713366 has 96 divisors (see below), whose sum is σ = 5843822400. Its totient is φ = 625895424.

The previous prime is 2251713337. The next prime is 2251713413. The reversal of 2251713366 is 6633171522.

2251713366 is a `hidden beast` number, since 2 + 2 + 517 + 133 + 6 + 6 = 666.

2251713366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×2251713366⁵ (a number of 48 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2251713366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223510 + ... + 233366.

It is an arithmetic number, because the mean of its divisors is an integer number (60873150).

Almost surely, 2^2251713366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251713366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921911200).

2251713366 is an abundant number, since it is smaller than the sum of its proper divisors (3592109034).

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

2251713366 is a wasteful number, since it uses less digits than its factorization.

2251713366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9923 (or 9906 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 2251713366 is about 47452.2219290098. The cubic root of 2251713366 is about 1310.7032267269.

Adding to 2251713366 its reverse (6633171522), we get a palindrome (8884884888).

The spelling of 2251713366 in words is "two billion, two hundred fifty-one million, seven hundred thirteen thousand, three hundred sixty-six".