2750872320 has 576 divisors, whose sum is σ = 11373143040. Its totient is φ = 616660992.

The previous prime is 2750872249. The next prime is 2750872331. The reversal of 2750872320 is 232780572.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20079292 + ... + 20079428.

It is an arithmetic number, because the mean of its divisors is an integer number (19745040).

Almost surely, 2^2750872320 is an apocalyptic number.

2750872320 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 2750872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5686571520).

2750872320 is an abundant number, since it is smaller than the sum of its proper divisors (8622270720).

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

2750872320 is a wasteful number, since it uses less digits than its factorization.

2750872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2750872320 is about 52448.7589938980. The cubic root of 2750872320 is about 1401.1677875427.

The spelling of 2750872320 in words is "two billion, seven hundred fifty million, eight hundred seventy-two thousand, three hundred twenty".