2746368000 has 360 divisors, whose sum is σ = 9967721400. Its totient is φ = 727449600.

The previous prime is 2746367999. The next prime is 2746368007. The reversal of 2746368000 is 8636472.

It can be written as a sum of positive squares in 4 ways, for example, as 479084544 + 2267283456 = 21888^2 + 47616^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (2746368007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18431926 + ... + 18432074.

It is an arithmetic number, because the mean of its divisors is an integer number (27688115).

Almost surely, 2^2746368000 is an apocalyptic number.

2746368000 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 2746368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983860700).

2746368000 is an abundant number, since it is smaller than the sum of its proper divisors (7221353400).

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

2746368000 is an equidigital number, since it uses as much as digits as its factorization.

2746368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2746368000 is about 52405.8012055917. The cubic root of 2746368000 is about 1400.4026052980.

The spelling of 2746368000 in words is "two billion, seven hundred forty-six million, three hundred sixty-eight thousand".