2820652800 has 432 divisors, whose sum is σ = 10997962752. Its totient is φ = 623001600.

The previous prime is 2820652799. The next prime is 2820652819. The reversal of 2820652800 is 82560282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4166062 + ... + 4166738.

Almost surely, 2^2820652800 is an apocalyptic number.

2820652800 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 2820652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5498981376).

2820652800 is an abundant number, since it is smaller than the sum of its proper divisors (8177309952).

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

2820652800 is a wasteful number, since it uses less digits than its factorization.

2820652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2820652800 is about 53109.8183013273. The cubic root of 2820652800 is about 1412.9166526097.

The spelling of 2820652800 in words is "two billion, eight hundred twenty million, six hundred fifty-two thousand, eight hundred".