2385541872 has 180 divisors, whose sum is σ = 7913968920. Its totient is φ = 668618496.

The previous prime is 2385541861. The next prime is 2385541891. The reversal of 2385541872 is 2781455832.

2385541872 is a `hidden beast` number, since 2 + 38 + 5 + 541 + 8 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 370779 + ... + 377157.

It is an arithmetic number, because the mean of its divisors is an integer number (43966494).

Almost surely, 2^2385541872 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 2385541872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956984460).

2385541872 is an abundant number, since it is smaller than the sum of its proper divisors (5528427048).

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

2385541872 is a wasteful number, since it uses less digits than its factorization.

2385541872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6444 counting only the distinct ones).

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

The square root of 2385541872 is about 48842.0092952778. The cubic root of 2385541872 is about 1336.1719423245.

The spelling of 2385541872 in words is "two billion, three hundred eighty-five million, five hundred forty-one thousand, eight hundred seventy-two".