2753948160 has 480 divisors, whose sum is σ = 10456205760. Its totient is φ = 692748288.

The previous prime is 2753948149. The next prime is 2753948173. The reversal of 2753948160 is 618493572.

2753948160 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

2753948160 is strictly pandigital in base 10.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11819404 + ... + 11819636.

It is an arithmetic number, because the mean of its divisors is an integer number (21783762).

It is a 1-persistent number, because it is pandigital, but 2⋅2753948160 = 5507896320 is not.

Almost surely, 2^2753948160 is an apocalyptic number.

2753948160 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 2753948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228102880).

2753948160 is an abundant number, since it is smaller than the sum of its proper divisors (7702257600).

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

2753948160 is an equidigital number, since it uses as much as digits as its factorization.

2753948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 262 counting only the distinct ones).

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

The square root of 2753948160 is about 52478.0731353582. The cubic root of 2753948160 is about 1401.6898234797.

The spelling of 2753948160 in words is "two billion, seven hundred fifty-three million, nine hundred forty-eight thousand, one hundred sixty".