2585245840 has 40 divisors (see below), whose sum is σ = 6018777720. Its totient is φ = 1032708096.

The previous prime is 2585245813. The next prime is 2585245841. The reversal of 2585245840 is 485425852.

It can be written as a sum of positive squares in 4 ways, for example, as 244234384 + 2341011456 = 15628^2 + 48384^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2585245841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39216 + ... + 81904.

It is an arithmetic number, because the mean of its divisors is an integer number (150469443).

Almost surely, 2^2585245840 is an apocalyptic number.

2585245840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585245840 is an abundant number, since it is smaller than the sum of its proper divisors (3433531880).

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

2585245840 is a wasteful number, since it uses less digits than its factorization.

2585245840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43459 (or 43453 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 43.

The square root of 2585245840 is about 50845.3128616591. The cubic root of 2585245840 is about 1372.4629076586.

The spelling of 2585245840 in words is "two billion, five hundred eighty-five million, two hundred forty-five thousand, eight hundred forty".