2678480800 has 144 divisors (see below), whose sum is σ = 6761567232. Its totient is φ = 1035417600.

The previous prime is 2678480767. The next prime is 2678480813. The reversal of 2678480800 is 80848762.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4165279 + ... + 4165921.

It is an arithmetic number, because the mean of its divisors is an integer number (46955328).

Almost surely, 2^2678480800 is an apocalyptic number.

2678480800 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 2678480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380783616).

2678480800 is an abundant number, since it is smaller than the sum of its proper divisors (4083086432).

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

2678480800 is a wasteful number, since it uses less digits than its factorization.

2678480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 2678480800 is about 51754.0413880887. The cubic root of 2678480800 is about 1388.7673975389.

It can be divided in two parts, 26784 and 80800, that added together give a square (107584 = 328²).

The spelling of 2678480800 in words is "two billion, six hundred seventy-eight million, four hundred eighty thousand, eight hundred".