2384768 has 32 divisors (see below), whose sum is σ = 4912320. Its totient is φ = 1152000.

The previous prime is 2384749. The next prime is 2384771. The reversal of 2384768 is 8674832.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 2¹⁹ + 3¹² + 8 + 4¹⁰ + 7 + 6⁷ + 8³ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3668 + ... + 4268.

It is an arithmetic number, because the mean of its divisors is an integer number (153510).

2^2384768 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 2384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456160).

2384768 is an abundant number, since it is smaller than the sum of its proper divisors (2527552).

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

2384768 is an equidigital number, since it uses as much as digits as its factorization.

2384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 634 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 2384768 is about 1544.2694065480. The cubic root of 2384768 is about 133.6027441558.

Subtracting 2384768 from its reverse (8674832), we obtain a square (6290064 = 2508²).

The spelling of 2384768 in words is "two million, three hundred eighty-four thousand, seven hundred sixty-eight".