2822400 has 243 divisors, whose sum is σ = 11738181. Its totient is φ = 645120.

The previous prime is 2822387. The next prime is 2822411. The reversal of 2822400 is 42282.

The square root of 2822400 is 1680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 1806336 = 1008^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 403197 + ... + 403203.

2^2822400 is an apocalyptic number.

2822400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2822400 is the 1680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2822400

2822400 is an abundant number, since it is smaller than the sum of its proper divisors (8915781).

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

2822400 is a wasteful number, since it uses less digits than its factorization.

2822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The cubic root of 2822400 is about 141.3208327222.

Multiplying 2822400 by its product of nonzero digits (256), we get a square (722534400 = 26880²).

2822400 divided by its product of nonzero digits (256) gives a square (11025 = 105²).

Adding to 2822400 its reverse (42282), we get a palindrome (2864682).

The spelling of 2822400 in words is "two million, eight hundred twenty-two thousand, four hundred".