2733108480 has 504 divisors, whose sum is σ = 10254482280. Its totient is φ = 696729600.

The previous prime is 2733108463. The next prime is 2733108481. The reversal of 2733108480 is 848013372.

2733108480 is a `hidden beast` number, since 2 + 73 + 3 + 108 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 940771584 + 1792336896 = 30672^2 + 42336^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2733108481) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27060430 + ... + 27060530.

It is an arithmetic number, because the mean of its divisors is an integer number (20346195).

Almost surely, 2^2733108480 is an apocalyptic number.

2733108480 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 2733108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127241140).

2733108480 is an abundant number, since it is smaller than the sum of its proper divisors (7521373800).

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

2733108480 is an equidigital number, since it uses as much as digits as its factorization.

2733108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2733108480 is about 52279.1400082289. The cubic root of 2733108480 is about 1398.1452445384.

The spelling of 2733108480 in words is "two billion, seven hundred thirty-three million, one hundred eight thousand, four hundred eighty".