2618606772 has 144 divisors (see below), whose sum is σ = 7091280000. Its totient is φ = 835515648.

The previous prime is 2618606729. The next prime is 2618606773. The reversal of 2618606772 is 2776068162.

2618606772 is a `hidden beast` number, since 26 + 18 + 606 + 7 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2618606773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13158729 + ... + 13158927.

It is an arithmetic number, because the mean of its divisors is an integer number (49245000).

Almost surely, 2^2618606772 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 2618606772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545640000).

2618606772 is an abundant number, since it is smaller than the sum of its proper divisors (4472673228).

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

2618606772 is a wasteful number, since it uses less digits than its factorization.

2618606772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2618606772 is about 51172.3242778750. The cubic root of 2618606772 is about 1378.3412773805.

The spelling of 2618606772 in words is "two billion, six hundred eighteen million, six hundred six thousand, seven hundred seventy-two".