2585935249 has 16 divisors (see below), whose sum is σ = 2738736000. Its totient is φ = 2437948800.

The previous prime is 2585935211. The next prime is 2585935267. The reversal of 2585935249 is 9425395852.

It is not a de Polignac number, because 2585935249 - 2²¹ = 2583838097 is a prime.

It is a super-2 number, since 2×2585935249² = 13374122224041384002, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2585935196 and 2585935205.

It is not an unprimeable number, because it can be changed into a prime (2585935049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253357 + ... + 263365.

It is an arithmetic number, because the mean of its divisors is an integer number (171171000).

Almost surely, 2^2585935249 is an apocalyptic number.

2585935249 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2585935249 is a deficient number, since it is larger than the sum of its proper divisors (152800751).

2585935249 is a wasteful number, since it uses less digits than its factorization.

2585935249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10248.

The product of its digits is 3888000, while the sum is 52.

The square root of 2585935249 is about 50852.0918842087. The cubic root of 2585935249 is about 1372.5848953076.

The spelling of 2585935249 in words is "two billion, five hundred eighty-five million, nine hundred thirty-five thousand, two hundred forty-nine".