2618782561 has 8 divisors (see below), whose sum is σ = 2774079144. Its totient is φ = 2463624960.

The previous prime is 2618782501. The next prime is 2618782577. The reversal of 2618782561 is 1652878162.

2618782561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1311526225 + 1307256336 = 36215^2 + 36156^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2618782561 - 2²³ = 2610393953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2618782501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5391 + ... + 72571.

It is an arithmetic number, because the mean of its divisors is an integer number (346759893).

Almost surely, 2^2618782561 is an apocalyptic number.

It is an amenable number.

2618782561 is a deficient number, since it is larger than the sum of its proper divisors (155296583).

2618782561 is a wasteful number, since it uses less digits than its factorization.

2618782561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69491.

The product of its digits is 322560, while the sum is 46.

The square root of 2618782561 is about 51174.0418669466. The cubic root of 2618782561 is about 1378.3721197119.

The spelling of 2618782561 in words is "two billion, six hundred eighteen million, seven hundred eighty-two thousand, five hundred sixty-one".