2730173600 has 576 divisors, whose sum is σ = 9071419392. Its totient is φ = 777216000.

The previous prime is 2730173591. The next prime is 2730173609. The reversal of 2730173600 is 63710372.

It is an interprime number because it is at equal distance from previous prime (2730173591) and next prime (2730173609).

It is a super-2 number, since 2×2730173600² = 14907695772273920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730173609) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 58088777 + ... + 58088823.

It is an arithmetic number, because the mean of its divisors is an integer number (15748992).

Almost surely, 2^2730173600 is an apocalyptic number.

2730173600 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 2730173600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535709696).

2730173600 is an abundant number, since it is smaller than the sum of its proper divisors (6341245792).

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

2730173600 is a wasteful number, since it uses less digits than its factorization.

2730173600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 2730173600 is about 52251.0631470786. The cubic root of 2730173600 is about 1397.6446108953.

Adding to 2730173600 its reverse (63710372), we get a palindrome (2793883972).

The spelling of 2730173600 in words is "two billion, seven hundred thirty million, one hundred seventy-three thousand, six hundred".