2678788780200 has 1152 divisors, whose sum is σ = 10803088558080. Its totient is φ = 588143001600.

The previous prime is 2678788780159. The next prime is 2678788780247. The reversal of 2678788780200 is 20878878762.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1033880905 + ... + 1033883495.

It is an arithmetic number, because the mean of its divisors is an integer number (9377681040).

Almost surely, 2^{2678788780200} is an apocalyptic number.

2678788780200 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 2678788780200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401544279040).

2678788780200 is an abundant number, since it is smaller than the sum of its proper divisors (8124299777880).

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

2678788780200 is a wasteful number, since it uses less digits than its factorization.

2678788780200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 2678788780200 in words is "two trillion, six hundred seventy-eight billion, seven hundred eighty-eight million, seven hundred eighty thousand, two hundred".