2584953852 has 48 divisors (see below), whose sum is σ = 6498928800. Its totient is φ = 794953728.

The previous prime is 2584953851. The next prime is 2584953863. The reversal of 2584953852 is 2583594852.

2584953852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2584953795 and 2584953804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2584953851) 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, 439024 + ... + 444872.

It is an arithmetic number, because the mean of its divisors is an integer number (135394350).

Almost surely, 2^2584953852 is an apocalyptic number.

It is an amenable number.

2584953852 is an abundant number, since it is smaller than the sum of its proper divisors (3913974948).

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

2584953852 is a wasteful number, since it uses less digits than its factorization.

2584953852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8702 (or 8700 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 51.

The square root of 2584953852 is about 50842.4414441321. The cubic root of 2584953852 is about 1372.4112352307.

The spelling of 2584953852 in words is "two billion, five hundred eighty-four million, nine hundred fifty-three thousand, eight hundred fifty-two".