2643220800 has 756 divisors, whose sum is σ = 10864088508. Its totient is φ = 608256000.

The previous prime is 2643220799. The next prime is 2643220807. The reversal of 2643220800 is 80223462.

2643220800 is a `hidden beast` number, since 26 + 432 + 208 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 100641024 + 2542579776 = 10032^2 + 50424^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643220807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 64468780 + ... + 64468820.

Almost surely, 2^2643220800 is an apocalyptic number.

2643220800 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 2643220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432044254).

2643220800 is an abundant number, since it is smaller than the sum of its proper divisors (8220867708).

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

2643220800 is a wasteful number, since it uses less digits than its factorization.

2643220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2643220800 is about 51412.2631285572. The cubic root of 2643220800 is about 1382.6464653470.

The spelling of 2643220800 in words is "two billion, six hundred forty-three million, two hundred twenty thousand, eight hundred".