2385768 has 64 divisors (see below), whose sum is σ = 7441920. Its totient is φ = 619200.

The previous prime is 2385751. The next prime is 2385787. The reversal of 2385768 is 8675832.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1203 + ... + 2493.

It is an arithmetic number, because the mean of its divisors is an integer number (116280).

2^2385768 is an apocalyptic number.

2385768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2385768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720960).

2385768 is an abundant number, since it is smaller than the sum of its proper divisors (5056152).

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

2385768 is a wasteful number, since it uses less digits than its factorization.

2385768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1314 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 2385768 is about 1544.5931503150. The cubic root of 2385768 is about 133.6214160034.

Subtracting 2385768 from its reverse (8675832), we obtain a square (6290064 = 2508²).

It can be divided in two parts, 238 and 5768, that added together give a palindrome (6006).

The spelling of 2385768 in words is "two million, three hundred eighty-five thousand, seven hundred sixty-eight".