2754180000 has 720 divisors, whose sum is σ = 11605610016. Its totient is φ = 610560000.

The previous prime is 2754179993. The next prime is 2754180001. The reversal of 2754180000 is 814572.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (2754180001) 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 119 ways as a sum of consecutive naturals, for example, 25739947 + ... + 25740053.

Almost surely, 2^2754180000 is an apocalyptic number.

2754180000 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 2754180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802805008).

2754180000 is an abundant number, since it is smaller than the sum of its proper divisors (8851430016).

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

2754180000 is a wasteful number, since it uses less digits than its factorization.

2754180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2754180000 is about 52480.2820114374. The cubic root of 2754180000 is about 1401.7291559375.

Adding to 2754180000 its reverse (814572), we get a palindrome (2754994572).

The spelling of 2754180000 in words is "two billion, seven hundred fifty-four million, one hundred eighty thousand".