2733316000 has 96 divisors (see below), whose sum is σ = 6843000528. Its totient is φ = 1072614400.

The previous prime is 2733315997. The next prime is 2733316009. The reversal of 2733316000 is 6133372.

It can be written as a sum of positive squares in 8 ways, for example, as 313856656 + 2419459344 = 17716^2 + 49188^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2733316009) 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, 205554 + ... + 218446.

Almost surely, 2^2733316000 is an apocalyptic number.

2733316000 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 2733316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421500264).

2733316000 is an abundant number, since it is smaller than the sum of its proper divisors (4109684528).

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

2733316000 is a wasteful number, since it uses less digits than its factorization.

2733316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12971 (or 12953 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 2733316000 is about 52281.1247009855. The cubic root of 2733316000 is about 1398.1806298588.

Adding to 2733316000 its reverse (6133372), we get a palindrome (2739449372).

The spelling of 2733316000 in words is "two billion, seven hundred thirty-three million, three hundred sixteen thousand".