2082400 has 72 divisors (see below), whose sum is σ = 5390280. Its totient is φ = 783360.

The previous prime is 2082391. The next prime is 2082413. The reversal of 2082400 is 42802.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15132 + ... + 15268.

It is an arithmetic number, because the mean of its divisors is an integer number (74865).

2^2082400 is an apocalyptic number.

2082400 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 2082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695140).

2082400 is an abundant number, since it is smaller than the sum of its proper divisors (3307880).

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

2082400 is a wasteful number, since it uses less digits than its factorization.

2082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2082400 is about 1443.0523206038. The cubic root of 2082400 is about 127.6991632931.

The spelling of 2082400 in words is "two million, eighty-two thousand, four hundred".