2730373200 has 180 divisors, whose sum is σ = 9802257660. Its totient is φ = 702965760.

The previous prime is 2730373159. The next prime is 2730373201. The reversal of 2730373200 is 23730372.

It is a happy number.

2730373200 is a `hidden beast` number, since 273 + 0 + 373 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 307371024 + 2423002176 = 17532^2 + 49224^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2730373200² = 14909875622556480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730373201) 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 35 ways as a sum of consecutive naturals, for example, 91324 + ... + 117476.

It is an arithmetic number, because the mean of its divisors is an integer number (54456987).

Almost surely, 2^2730373200 is an apocalyptic number.

2730373200 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 2730373200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901128830).

2730373200 is an abundant number, since it is smaller than the sum of its proper divisors (7071884460).

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

2730373200 is a wasteful number, since it uses less digits than its factorization.

2730373200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26206 (or 26192 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 2730373200 is about 52252.9731211536. The cubic root of 2730373200 is about 1397.6786701539.

The spelling of 2730373200 in words is "two billion, seven hundred thirty million, three hundred seventy-three thousand, two hundred".