2382640 has 80 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 838656.

The previous prime is 2382637. The next prime is 2382649. The reversal of 2382640 is 462832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2382649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30121 + ... + 30199.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

2^2382640 is an apocalyptic number.

2382640 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 2382640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2382640 is an abundant number, since it is smaller than the sum of its proper divisors (3866960).

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

2382640 is a wasteful number, since it uses less digits than its factorization.

2382640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2382640 is about 1543.5802538255. The cubic root of 2382640 is about 133.5629930848.

The spelling of 2382640 in words is "two million, three hundred eighty-two thousand, six hundred forty".