2730055680 has 288 divisors, whose sum is σ = 10325886480. Its totient is φ = 661585920.

The previous prime is 2730055661. The next prime is 2730055723. The reversal of 2730055680 is 865500372.

2730055680 is a `hidden beast` number, since 27 + 3 + 0 + 0 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012414 + ... + 1015106.

Almost surely, 2^2730055680 is an apocalyptic number.

2730055680 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 2730055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162943240).

2730055680 is an abundant number, since it is smaller than the sum of its proper divisors (7595830800).

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

2730055680 is a wasteful number, since it uses less digits than its factorization.

2730055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2730055680 is about 52249.9347368013. The cubic root of 2730055680 is about 1397.6244885332.

The spelling of 2730055680 in words is "two billion, seven hundred thirty million, fifty-five thousand, six hundred eighty".