2605128960 has 288 divisors, whose sum is σ = 10069823232. Its totient is φ = 560332800.

The previous prime is 2605128941. The next prime is 2605128983. The reversal of 2605128960 is 698215062.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 454110 + ... + 459810.

It is an arithmetic number, because the mean of its divisors is an integer number (34964664).

Almost surely, 2^2605128960 is an apocalyptic number.

2605128960 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 2605128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034911616).

2605128960 is an abundant number, since it is smaller than the sum of its proper divisors (7464694272).

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

2605128960 is a wasteful number, since it uses less digits than its factorization.

2605128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 2605128960 is about 51040.4639477346. The cubic root of 2605128960 is about 1375.9724620413.

The spelling of 2605128960 in words is "two billion, six hundred five million, one hundred twenty-eight thousand, nine hundred sixty".