2753919168 has 672 divisors, whose sum is σ = 10507553280. Its totient is φ = 624476160.

The previous prime is 2753919127. The next prime is 2753919187. The reversal of 2753919168 is 8619193572.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 2753919168.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30942868 + ... + 30942956.

It is an arithmetic number, because the mean of its divisors is an integer number (15636240).

Almost surely, 2^2753919168 is an apocalyptic number.

2753919168 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 2753919168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253776640).

2753919168 is an abundant number, since it is smaller than the sum of its proper divisors (7753634112).

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

2753919168 is a wasteful number, since it uses less digits than its factorization.

2753919168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 2753919168 is about 52477.7969049769. The cubic root of 2753919168 is about 1401.6849047313.

The spelling of 2753919168 in words is "two billion, seven hundred fifty-three million, nine hundred nineteen thousand, one hundred sixty-eight".