2585403342 has 24 divisors (see below), whose sum is σ = 5753106216. Its totient is φ = 838508976.

The previous prime is 2585403329. The next prime is 2585403361. The reversal of 2585403342 is 2433045852.

2585403342 is a `hidden beast` number, since 2 + 585 + 4 + 0 + 33 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2585403297 and 2585403306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1940328 + ... + 1941659.

It is an arithmetic number, because the mean of its divisors is an integer number (239712759).

Almost surely, 2^2585403342 is an apocalyptic number.

2585403342 is an abundant number, since it is smaller than the sum of its proper divisors (3167702874).

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

2585403342 is a wasteful number, since it uses less digits than its factorization.

2585403342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882032 (or 3882029 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2585403342 is about 50846.8616730669. The cubic root of 2585403342 is about 1372.4907788008.

The spelling of 2585403342 in words is "two billion, five hundred eighty-five million, four hundred three thousand, three hundred forty-two".