2595780000 has 960 divisors, whose sum is σ = 11336371200. Its totient is φ = 570240000.

The previous prime is 2595779999. The next prime is 2595780041. The reversal of 2595780000 is 875952.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 112859989 + ... + 112860011.

It is an arithmetic number, because the mean of its divisors is an integer number (11808720).

Almost surely, 2^2595780000 is an apocalyptic number.

2595780000 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 2595780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668185600).

2595780000 is an abundant number, since it is smaller than the sum of its proper divisors (8740591200).

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

2595780000 is a wasteful number, since it uses less digits than its factorization.

2595780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 2595780000 is about 50948.7978268379. The cubic root of 2595780000 is about 1374.3245167009.

The spelling of 2595780000 in words is "two billion, five hundred ninety-five million, seven hundred eighty thousand".