2605464288 has 288 divisors, whose sum is σ = 8955588096. Its totient is φ = 702434304.

The previous prime is 2605464283. The next prime is 2605464289. The reversal of 2605464288 is 8824645062.

2605464288 is a `hidden beast` number, since 2 + 60 + 546 + 42 + 8 + 8 = 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 (2605464283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3848206 + ... + 3848882.

It is an arithmetic number, because the mean of its divisors is an integer number (31095792).

Almost surely, 2^2605464288 is an apocalyptic number.

2605464288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2605464288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477794048).

2605464288 is an abundant number, since it is smaller than the sum of its proper divisors (6350123808).

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

2605464288 is a wasteful number, since it uses less digits than its factorization.

2605464288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2605464288 is about 51043.7487651524. The cubic root of 2605464288 is about 1376.0314971608.

The spelling of 2605464288 in words is "two billion, six hundred five million, four hundred sixty-four thousand, two hundred eighty-eight".