2648746828200 has 192 divisors, whose sum is σ = 9429032217600. Its totient is φ = 608324601600.

The previous prime is 2648746828187. The next prime is 2648746828207. The reversal of 2648746828200 is 28286478462.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2648746828207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10435792 + ... + 10686591.

It is an arithmetic number, because the mean of its divisors is an integer number (49109542800).

Almost surely, 2^{2648746828200} is an apocalyptic number.

2648746828200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2648746828200 is an abundant number, since it is smaller than the sum of its proper divisors (6780285389400).

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

2648746828200 is a wasteful number, since it uses less digits than its factorization.

2648746828200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21122432 (or 21122423 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 2648746828200 in words is "two trillion, six hundred forty-eight billion, seven hundred forty-six million, eight hundred twenty-eight thousand, two hundred".