2363680 has 96 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 798720.

The previous prime is 2363653. The next prime is 2363681. The reversal of 2363680 is 863632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2363681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29881 + ... + 29959.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

2^2363680 is an apocalyptic number.

2363680 is a gapful number since it is divisible by the number (20) 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 2363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2363680 is an abundant number, since it is smaller than the sum of its proper divisors (4168160).

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

2363680 is a wasteful number, since it uses less digits than its factorization.

2363680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2363680 is about 1537.4264210036. The cubic root of 2363680 is about 133.2077706812.

It can be divided in two parts, 23636 and 80, that added together give a square (23716 = 154²).

The spelling of 2363680 in words is "two million, three hundred sixty-three thousand, six hundred eighty".