2733840000 has 240 divisors, whose sum is σ = 9833078970. Its totient is φ = 728832000.

The previous prime is 2733839993. The next prime is 2733840013. The reversal of 2733840000 is 483372.

It can be written as a sum of positive squares in 5 ways, for example, as 137733696 + 2596106304 = 11736^2 + 50952^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2733840000² = 14947762291200000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 718102 + ... + 721898.

Almost surely, 2^2733840000 is an apocalyptic number.

2733840000 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 2733840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916539485).

2733840000 is an abundant number, since it is smaller than the sum of its proper divisors (7099238970).

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

2733840000 is an equidigital number, since it uses as much as digits as its factorization.

2733840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2733840000 is about 52286.1358296824. The cubic root of 2733840000 is about 1398.2699718689.

The spelling of 2733840000 in words is "two billion, seven hundred thirty-three million, eight hundred forty thousand".