2605133456 has 40 divisors (see below), whose sum is σ = 5281298880. Its totient is φ = 1242527616.

The previous prime is 2605133441. The next prime is 2605133473. The reversal of 2605133456 is 6543315062.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127775 + ... + 146753.

It is an arithmetic number, because the mean of its divisors is an integer number (132032472).

Almost surely, 2^2605133456 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 2605133456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640649440).

2605133456 is an abundant number, since it is smaller than the sum of its proper divisors (2676165424).

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

2605133456 is a wasteful number, since it uses less digits than its factorization.

2605133456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19383 (or 19377 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 2605133456 is about 51040.5079912024. The cubic root of 2605133456 is about 1375.9732536040.

The spelling of 2605133456 in words is "two billion, six hundred five million, one hundred thirty-three thousand, four hundred fifty-six".