2820429800 has 48 divisors (see below), whose sum is σ = 6783633900. Its totient is φ = 1089267200.

The previous prime is 2820429779. The next prime is 2820429803. The reversal of 2820429800 is 89240282.

It can be written as a sum of positive squares in 6 ways, for example, as 360468196 + 2459961604 = 18986^2 + 49598^2 .

It is not an unprimeable number, because it can be changed into a prime (2820429803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237341 + ... + 248940.

Almost surely, 2^2820429800 is an apocalyptic number.

2820429800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2820429800 is an abundant number, since it is smaller than the sum of its proper divisors (3963204100).

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

2820429800 is a wasteful number, since it uses less digits than its factorization.

2820429800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486326 (or 486317 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 2820429800 is about 53107.7188363424. The cubic root of 2820429800 is about 1412.8794167002.

The spelling of 2820429800 in words is "two billion, eight hundred twenty million, four hundred twenty-nine thousand, eight hundred".