2595405852 has 144 divisors (see below), whose sum is σ = 7543710720. Its totient is φ = 745718400.

The previous prime is 2595405829. The next prime is 2595405893. The reversal of 2595405852 is 2585045952.

2595405852 is a `hidden beast` number, since 2 + 5 + 9 + 540 + 58 + 52 = 666.

It is a super-2 number, since 2×2595405852² = 13472263073191691808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2595405798 and 2595405807.

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 47 ways as a sum of consecutive naturals, for example, 629277 + ... + 633387.

It is an arithmetic number, because the mean of its divisors is an integer number (52386880).

Almost surely, 2^2595405852 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 2595405852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771855360).

2595405852 is an abundant number, since it is smaller than the sum of its proper divisors (4948304868).

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

2595405852 is a wasteful number, since it uses less digits than its factorization.

2595405852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 4219 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 2595405852 is about 50945.1258905109. The cubic root of 2595405852 is about 1374.2584831803.

The spelling of 2595405852 in words is "two billion, five hundred ninety-five million, four hundred five thousand, eight hundred fifty-two".