2730541968 has 640 divisors, whose sum is σ = 10559324160. Its totient is φ = 654635520.

The previous prime is 2730541937. The next prime is 2730541973. The reversal of 2730541968 is 8691450372.

2730541968 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

2730541968 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32898055 + ... + 32898137.

It is an arithmetic number, because the mean of its divisors is an integer number (16498944).

It is a 1-persistent number, because it is pandigital, but 2⋅2730541968 = 5461083936 is not.

Almost surely, 2^2730541968 is an apocalyptic number.

2730541968 is a gapful number since it is divisible by the number (28) 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 2730541968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279662080).

2730541968 is an abundant number, since it is smaller than the sum of its proper divisors (7828782192).

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

2730541968 is a wasteful number, since it uses less digits than its factorization.

2730541968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2730541968 is about 52254.5880090926. The cubic root of 2730541968 is about 1397.7074670200.

The spelling of 2730541968 in words is "two billion, seven hundred thirty million, five hundred forty-one thousand, nine hundred sixty-eight".