2585732249 has 16 divisors (see below), whose sum is σ = 2981318400. Its totient is φ = 2226034944.

The previous prime is 2585732239. The next prime is 2585732251. The reversal of 2585732249 is 9422375852.

It is not a de Polignac number, because 2585732249 - 2¹² = 2585728153 is a prime.

It is a super-2 number, since 2×2585732249² = 13372022527037196002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2585732239) 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, 128657 + ... + 147390.

It is an arithmetic number, because the mean of its divisors is an integer number (186332400).

Almost surely, 2^2585732249 is an apocalyptic number.

2585732249 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2585732249 is a deficient number, since it is larger than the sum of its proper divisors (395586151).

2585732249 is a wasteful number, since it uses less digits than its factorization.

2585732249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276112.

The product of its digits is 1209600, while the sum is 47.

The square root of 2585732249 is about 50850.0958602833. The cubic root of 2585732249 is about 1372.5489776739.

The spelling of 2585732249 in words is "two billion, five hundred eighty-five million, seven hundred thirty-two thousand, two hundred forty-nine".