2852508672 has 264 divisors, whose sum is σ = 9187181640. Its totient is φ = 846397440.

The previous prime is 2852508671. The next prime is 2852508683. The reversal of 2852508672 is 2768052582.

2852508672 is a `hidden beast` number, since 2 + 85 + 2 + 508 + 67 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23970816 + 2828537856 = 4896^2 + 53184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852508671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3474022 + ... + 3474842.

Almost surely, 2^2852508672 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 2852508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593590820).

2852508672 is an abundant number, since it is smaller than the sum of its proper divisors (6334672968).

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

2852508672 is a wasteful number, since it uses less digits than its factorization.

2852508672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2852508672 is about 53408.8819579665. The cubic root of 2852508672 is about 1418.2158164344.

The spelling of 2852508672 in words is "two billion, eight hundred fifty-two million, five hundred eight thousand, six hundred seventy-two".