2605263360 has 640 divisors, whose sum is σ = 10370764800. Its totient is φ = 556351488.

The previous prime is 2605263329. The next prime is 2605263371. The reversal of 2605263360 is 633625062.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 60587499 + ... + 60587541.

It is an arithmetic number, because the mean of its divisors is an integer number (16204320).

Almost surely, 2^2605263360 is an apocalyptic number.

2605263360 is a gapful number since it is divisible by the number (20) 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 2605263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185382400).

2605263360 is an abundant number, since it is smaller than the sum of its proper divisors (7765501440).

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

2605263360 is an equidigital number, since it uses as much as digits as its factorization.

2605263360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 2605263360 is about 51041.7805332063. The cubic root of 2605263360 is about 1375.9961240201.

The spelling of 2605263360 in words is "two billion, six hundred five million, two hundred sixty-three thousand, three hundred sixty".