2820230400 has 216 divisors, whose sum is σ = 10024184800. Its totient is φ = 694149120.

The previous prime is 2820230393. The next prime is 2820230423. The reversal of 2820230400 is 40320282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243951 + ... + 255249.

Almost surely, 2^2820230400 is an apocalyptic number.

2820230400 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 2820230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012092400).

2820230400 is an abundant number, since it is smaller than the sum of its proper divisors (7203954400).

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

2820230400 is a wasteful number, since it uses less digits than its factorization.

2820230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11341 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2820230400 is about 53105.8414866011. The cubic root of 2820230400 is about 1412.8461197898.

Adding to 2820230400 its reverse (40320282), we get a palindrome (2860550682).

The spelling of 2820230400 in words is "two billion, eight hundred twenty million, two hundred thirty thousand, four hundred".