2678300800 has 576 divisors, whose sum is σ = 8651232000. Its totient is φ = 812851200.

The previous prime is 2678300767. The next prime is 2678300809. The reversal of 2678300800 is 80038762.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2678300809) 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 71 ways as a sum of consecutive naturals, for example, 86396785 + ... + 86396815.

It is an arithmetic number, because the mean of its divisors is an integer number (15019500).

Almost surely, 2^2678300800 is an apocalyptic number.

2678300800 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 2678300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325616000).

2678300800 is an abundant number, since it is smaller than the sum of its proper divisors (5972931200).

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

2678300800 is a wasteful number, since it uses less digits than its factorization.

2678300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2678300800 is about 51752.3023642427. The cubic root of 2678300800 is about 1388.7362873997.

The spelling of 2678300800 in words is "two billion, six hundred seventy-eight million, three hundred thousand, eight hundred".