2830940800 has 48 divisors (see below), whose sum is σ = 6993316350. Its totient is φ = 1132375040.

The previous prime is 2830940797. The next prime is 2830940807. The reversal of 2830940800 is 80490382.

It can be written as a sum of positive squares in 3 ways, for example, as 1469035584 + 1361905216 = 38328^2 + 36904^2 .

It is not an unprimeable number, because it can be changed into a prime (2830940807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 439135 + ... + 445534.

Almost surely, 2^2830940800 is an apocalyptic number.

2830940800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2830940800 is an abundant number, since it is smaller than the sum of its proper divisors (4162375550).

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

2830940800 is an equidigital number, since it uses as much as digits as its factorization.

2830940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884693 (or 884676 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2830940800 is about 53206.5860584947. The cubic root of 2830940800 is about 1414.6323842017.

The spelling of 2830940800 in words is "two billion, eight hundred thirty million, nine hundred forty thousand, eight hundred".