2733161314200 has 192 divisors, whose sum is σ = 8648501103360. Its totient is φ = 713779422720.

The previous prime is 2733161314141. The next prime is 2733161314207. The reversal of 2733161314200 is 24131613372.

It is a happy number.

It is a super-2 number, since 2×2733161314200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2733161314207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17316037 + ... + 17473163.

It is an arithmetic number, because the mean of its divisors is an integer number (45044276580).

Almost surely, 2^{2733161314200} is an apocalyptic number.

2733161314200 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 2733161314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324250551680).

2733161314200 is an abundant number, since it is smaller than the sum of its proper divisors (5915339789160).

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

2733161314200 is a wasteful number, since it uses less digits than its factorization.

2733161314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157746 (or 157737 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

Adding to 2733161314200 its reverse (24131613372), we get a palindrome (2757292927572).

The spelling of 2733161314200 in words is "two trillion, seven hundred thirty-three billion, one hundred sixty-one million, three hundred fourteen thousand, two hundred".