2585346016 has 72 divisors (see below), whose sum is σ = 5690011320. Its totient is φ = 1155137280.

The previous prime is 2585346007. The next prime is 2585346037. The reversal of 2585346016 is 6106435852.

2585346016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2585346016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222790 + ... + 234106.

It is an arithmetic number, because the mean of its divisors is an integer number (79027935).

Almost surely, 2^2585346016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845005660).

2585346016 is an abundant number, since it is smaller than the sum of its proper divisors (3104665304).

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

2585346016 is a wasteful number, since it uses less digits than its factorization.

2585346016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11408 (or 11389 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 2585346016 is about 50846.2979576685. The cubic root of 2585346016 is about 1372.4806346727.

The spelling of 2585346016 in words is "two billion, five hundred eighty-five million, three hundred forty-six thousand, sixteen".