2585185616 has 80 divisors (see below), whose sum is σ = 5470056144. Its totient is φ = 1176502272.

The previous prime is 2585185613. The next prime is 2585185621. The reversal of 2585185616 is 6165815852.

It can be written as a sum of positive squares in 8 ways, for example, as 44622400 + 2540563216 = 6680^2 + 50404^2 .

Its product of digits (576000) is a multiple of the sum of its prime factors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585185613) 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, 7323296 + ... + 7323648.

Almost surely, 2^2585185616 is an apocalyptic number.

2585185616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585185616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735028072).

2585185616 is an abundant number, since it is smaller than the sum of its proper divisors (2884870528).

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

2585185616 is a wasteful number, since it uses less digits than its factorization.

2585185616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its digits is 576000, while the sum is 47.

The square root of 2585185616 is about 50844.7206305630. The cubic root of 2585185616 is about 1372.4522502778.

The spelling of 2585185616 in words is "two billion, five hundred eighty-five million, one hundred eighty-five thousand, six hundred sixteen".