2730068800 has 42 divisors (see below), whose sum is σ = 6717679478. Its totient is φ = 1092026880.

The previous prime is 2730068797. The next prime is 2730068801. The reversal of 2730068800 is 88600372.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 215296 + 2729853504 = 464^2 + 52248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730068801) 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 5 ways as a sum of consecutive naturals, for example, 851547 + ... + 854746.

Almost surely, 2^2730068800 is an apocalyptic number.

2730068800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2730068800 is an abundant number, since it is smaller than the sum of its proper divisors (3987610678).

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

2730068800 is a wasteful number, since it uses less digits than its factorization.

2730068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706315 (or 1706300 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2730068800 is about 52250.0602870466. The cubic root of 2730068800 is about 1397.6267274135.

It can be divided in two parts, 27300 and 68800, that added together give a square (96100 = 310²).

The spelling of 2730068800 in words is "two billion, seven hundred thirty million, sixty-eight thousand, eight hundred".