2382000 has 80 divisors (see below), whose sum is σ = 7698912. Its totient is φ = 633600.

The previous prime is 2381999. The next prime is 2382001. The reversal of 2382000 is 2832.

It is an interprime number because it is at equal distance from previous prime (2381999) and next prime (2382001).

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2382001) 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, 5802 + ... + 6198.

2^2382000 is an apocalyptic number.

2382000 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 2382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849456).

2382000 is an abundant number, since it is smaller than the sum of its proper divisors (5316912).

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

2382000 is a wasteful number, since it uses less digits than its factorization.

2382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2382000 is about 1543.3729296576. The cubic root of 2382000 is about 133.5510332460.

Adding to 2382000 its reverse (2832), we get a palindrome (2384832).

The spelling of 2382000 in words is "two million, three hundred eighty-two thousand".