2565603342 has 64 divisors (see below), whose sum is σ = 5876640000. Its totient is φ = 829198944.

The previous prime is 2565603319. The next prime is 2565603367. The reversal of 2565603342 is 2433065652.

2565603342 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 603 + 3 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2565603297 and 2565603306.

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 31 ways as a sum of consecutive naturals, for example, 318784 + ... + 326732.

It is an arithmetic number, because the mean of its divisors is an integer number (91822500).

Almost surely, 2^2565603342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565603342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938320000).

2565603342 is an abundant number, since it is smaller than the sum of its proper divisors (3311036658).

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

2565603342 is a wasteful number, since it uses less digits than its factorization.

2565603342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8142 (or 8136 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2565603342 is about 50651.7851807811. The cubic root of 2565603342 is about 1368.9781112779.

Adding to 2565603342 its reverse (2433065652), we get a palindrome (4998668994).

The spelling of 2565603342 in words is "two billion, five hundred sixty-five million, six hundred three thousand, three hundred forty-two".