2730637271296 has 243 divisors, whose sum is σ = 6167787215079. Its totient is φ = 1205637734400.

The previous prime is 2730637271233. The next prime is 2730637271333. The reversal of 2730637271296 is 6921727360372.

It is a happy number.

The square root of 2730637271296 is 1652464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5232496896 + 2725404774400 = 72336^2 + 1650880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11924180110 + ... + 11924180338.

Almost surely, 2^{2730637271296} is an apocalyptic number.

2730637271296 is the 1652464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2730637271296

2730637271296 is an abundant number, since it is smaller than the sum of its proper divisors (3437149943783).

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

2730637271296 is an frugal number, since it uses more digits than its factorization.

2730637271296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 55.

The spelling of 2730637271296 in words is "two trillion, seven hundred thirty billion, six hundred thirty-seven million, two hundred seventy-one thousand, two hundred ninety-six".