2730438000 has 240 divisors, whose sum is σ = 10098612576. Its totient is φ = 685209600.

The previous prime is 2730437987. The next prime is 2730438001. The reversal of 2730438000 is 8340372.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730438001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301539 + ... + 310461.

Almost surely, 2^2730438000 is an apocalyptic number.

2730438000 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 2730438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049306288).

2730438000 is an abundant number, since it is smaller than the sum of its proper divisors (7368174576).

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

2730438000 is a wasteful number, since it uses less digits than its factorization.

2730438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8969 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2730438000 is about 52253.5931778859. The cubic root of 2730438000 is about 1397.6897271114.

Adding to 2730438000 its reverse (8340372), we get a palindrome (2738778372).

The spelling of 2730438000 in words is "two billion, seven hundred thirty million, four hundred thirty-eight thousand".