2678734800 has 720 divisors, whose sum is σ = 11462377472. Its totient is φ = 587865600.

The previous prime is 2678734783. The next prime is 2678734801. The reversal of 2678734800 is 84378762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678734801) 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 143 ways as a sum of consecutive naturals, for example, 21092337 + ... + 21092463.

Almost surely, 2^2678734800 is an apocalyptic number.

2678734800 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 2678734800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731188736).

2678734800 is an abundant number, since it is smaller than the sum of its proper divisors (8783642672).

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

2678734800 is a wasteful number, since it uses less digits than its factorization.

2678734800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2678734800 is about 51756.4952445584. The cubic root of 2678734800 is about 1388.8112950310.

The spelling of 2678734800 in words is "two billion, six hundred seventy-eight million, seven hundred thirty-four thousand, eight hundred".