2754168960 has 128 divisors (see below), whose sum is σ = 9062300160. Its totient is φ = 710737920.

The previous prime is 2754168913. The next prime is 2754168961. The reversal of 2754168960 is 698614572.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2754168961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36384 + ... + 82656.

It is an arithmetic number, because the mean of its divisors is an integer number (70799220).

Almost surely, 2^2754168960 is an apocalyptic number.

2754168960 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 2754168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531150080).

2754168960 is an abundant number, since it is smaller than the sum of its proper divisors (6308131200).

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

2754168960 is a wasteful number, since it uses less digits than its factorization.

2754168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46326 (or 46314 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2754168960 is about 52480.1768289704. The cubic root of 2754168960 is about 1401.7272830134.

The spelling of 2754168960 in words is "two billion, seven hundred fifty-four million, one hundred sixty-eight thousand, nine hundred sixty".