2804400 has 180 divisors, whose sum is σ = 10494120. Its totient is φ = 691200.

The previous prime is 2804383. The next prime is 2804407. The reversal of 2804400 is 44082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (2804407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68380 + ... + 68420.

2^2804400 is an apocalyptic number.

2804400 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 2804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247060).

2804400 is an abundant number, since it is smaller than the sum of its proper divisors (7689720).

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

2804400 is a wasteful number, since it uses less digits than its factorization.

2804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 70 counting only the distinct ones).

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

The square root of 2804400 is about 1674.6342884343. The cubic root of 2804400 is about 141.0197648466.

Adding to 2804400 its reverse (44082), we get a palindrome (2848482).

The spelling of 2804400 in words is "two million, eight hundred four thousand, four hundred".