2618904672 has 288 divisors, whose sum is σ = 8491392000. Its totient is φ = 760541184.

The previous prime is 2618904671. The next prime is 2618904679. The reversal of 2618904672 is 2764098162.

It is a happy number.

2618904672 is a `hidden beast` number, since 2 + 6 + 189 + 0 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2618904671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4371829 + ... + 4372427.

It is an arithmetic number, because the mean of its divisors is an integer number (29484000).

Almost surely, 2^2618904672 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 2618904672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696000).

2618904672 is an abundant number, since it is smaller than the sum of its proper divisors (5872487328).

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

2618904672 is a wasteful number, since it uses less digits than its factorization.

2618904672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2618904672 is about 51175.2349481661. The cubic root of 2618904672 is about 1378.3935433795.

The spelling of 2618904672 in words is "two billion, six hundred eighteen million, nine hundred four thousand, six hundred seventy-two".