2585742357 has 32 divisors (see below), whose sum is σ = 3987648000. Its totient is φ = 1473906240.

The previous prime is 2585742353. The next prime is 2585742361. The reversal of 2585742357 is 7532475852.

It is an interprime number because it is at equal distance from previous prime (2585742353) and next prime (2585742361).

It is not a de Polignac number, because 2585742357 - 2² = 2585742353 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585742353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72319 + ... + 101987.

It is an arithmetic number, because the mean of its divisors is an integer number (124614000).

Almost surely, 2^2585742357 is an apocalyptic number.

It is an amenable number.

2585742357 is a deficient number, since it is larger than the sum of its proper divisors (1401905643).

2585742357 is a wasteful number, since it uses less digits than its factorization.

2585742357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29841.

The product of its digits is 2352000, while the sum is 48.

The square root of 2585742357 is about 50850.1952503626. The cubic root of 2585742357 is about 1372.5507661688.

The spelling of 2585742357 in words is "two billion, five hundred eighty-five million, seven hundred forty-two thousand, three hundred fifty-seven".