2882400 has 72 divisors (see below), whose sum is σ = 9390024. Its totient is φ = 768000.

The previous prime is 2882389. The next prime is 2882413. The reversal of 2882400 is 42882.

2882400 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (24).

2882400 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1800 + ... + 3000.

It is an arithmetic number, because the mean of its divisors is an integer number (130417).

2^2882400 is an apocalyptic number.

2882400 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 2882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695012).

2882400 is an abundant number, since it is smaller than the sum of its proper divisors (6507624).

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

2882400 is a wasteful number, since it uses less digits than its factorization.

2882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2882400 is about 1697.7632343763. The cubic root of 2882400 is about 142.3152422433.

It can be divided in two parts, 28 and 82400, that added together give a palindrome (82428).

The spelling of 2882400 in words is "two million, eight hundred eighty-two thousand, four hundred".