2830072732800 has 288 divisors, whose sum is σ = 9631978536240. Its totient is φ = 730338969600.

The previous prime is 2830072732793. The next prime is 2830072732801. The reversal of 2830072732800 is 82372700382.

2830072732800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2830072732801) 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, 9072219 + ... + 9378981.

Almost surely, 2^{2830072732800} is an apocalyptic number.

2830072732800 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 2830072732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815989268120).

2830072732800 is an abundant number, since it is smaller than the sum of its proper divisors (6801905803440).

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

2830072732800 is a wasteful number, since it uses less digits than its factorization.

2830072732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306852 (or 306804 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 2830072732800 in words is "two trillion, eight hundred thirty billion, seventy-two million, seven hundred thirty-two thousand, eight hundred".