2385675936 has 288 divisors, whose sum is σ = 8318479680. Its totient is φ = 662764032.

The previous prime is 2385675871. The next prime is 2385675937. The reversal of 2385675936 is 6395765832.

It is a happy number.

2385675936 is a `hidden beast` number, since 23 + 8 + 567 + 59 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2385675937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1565671 + ... + 1567193.

It is an arithmetic number, because the mean of its divisors is an integer number (28883610).

Almost surely, 2^2385675936 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 2385675936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159239840).

2385675936 is an abundant number, since it is smaller than the sum of its proper divisors (5932803744).

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

2385675936 is a wasteful number, since it uses less digits than its factorization.

2385675936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1572 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 2385675936 is about 48843.3817011067. The cubic root of 2385675936 is about 1336.1969721653.

The spelling of 2385675936 in words is "two billion, three hundred eighty-five million, six hundred seventy-five thousand, nine hundred thirty-six".