2678140800 has 384 divisors, whose sum is σ = 9916032000. Its totient is φ = 705853440.

The previous prime is 2678140799. The next prime is 2678140819. The reversal of 2678140800 is 80418762.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12009489 + ... + 12009711.

It is an arithmetic number, because the mean of its divisors is an integer number (25823000).

Almost surely, 2^2678140800 is an apocalyptic number.

2678140800 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 2678140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958016000).

2678140800 is an abundant number, since it is smaller than the sum of its proper divisors (7237891200).

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

2678140800 is a wasteful number, since it uses less digits than its factorization.

2678140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2678140800 is about 51750.7565162095. The cubic root of 2678140800 is about 1388.7086327725.

The spelling of 2678140800 in words is "two billion, six hundred seventy-eight million, one hundred forty thousand, eight hundred".