2726168000 has 112 divisors (see below), whose sum is σ = 6775545504. Its totient is φ = 1086566400.

The previous prime is 2726167999. The next prime is 2726168009. The reversal of 2726168000 is 8616272.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2726168009) 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 15 ways as a sum of consecutive naturals, for example, 3463607 + ... + 3464393.

It is an arithmetic number, because the mean of its divisors is an integer number (60495942).

Almost surely, 2^2726168000 is an apocalyptic number.

2726168000 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 2726168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387772752).

2726168000 is an abundant number, since it is smaller than the sum of its proper divisors (4049377504).

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

2726168000 is an equidigital number, since it uses as much as digits as its factorization.

2726168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2726168000 is about 52212.7187570232. The cubic root of 2726168000 is about 1396.9607538438.

The spelling of 2726168000 in words is "two billion, seven hundred twenty-six million, one hundred sixty-eight thousand".