2585146650 has 192 divisors, whose sum is σ = 7207574400. Its totient is φ = 609361920.

The previous prime is 2585146621. The next prime is 2585146651. The reversal of 2585146650 is 566415852.

It is not an unprimeable number, because it can be changed into a prime (2585146651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11094934 + ... + 11095166.

It is an arithmetic number, because the mean of its divisors is an integer number (37539450).

Almost surely, 2^2585146650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585146650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603787200).

2585146650 is an abundant number, since it is smaller than the sum of its proper divisors (4622427750).

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

2585146650 is a wasteful number, since it uses less digits than its factorization.

2585146650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 2585146650 is about 50844.3374428264. The cubic root of 2585146650 is about 1372.4453546745.

The spelling of 2585146650 in words is "two billion, five hundred eighty-five million, one hundred forty-six thousand, six hundred fifty".