2730937296761 has 32 divisors (see below), whose sum is σ = 2890014474240. Its totient is φ = 2575502406400.

The previous prime is 2730937296757. The next prime is 2730937296809. The reversal of 2730937296761 is 1676927390372.

It is a cyclic number.

It is not a de Polignac number, because 2730937296761 - 2² = 2730937296757 is a prime.

It is a super-3 number, since 3×2730937296761³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2730937296694 and 2730937296703.

It is not an unprimeable number, because it can be changed into a prime (2730937296701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402137276 + ... + 402144066.

It is an arithmetic number, because the mean of its divisors is an integer number (90312952320).

Almost surely, 2^{2730937296761} is an apocalyptic number.

It is an amenable number.

2730937296761 is a deficient number, since it is larger than the sum of its proper divisors (159077177479).

2730937296761 is a wasteful number, since it uses less digits than its factorization.

2730937296761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717.

The product of its (nonzero) digits is 36006768, while the sum is 62.

The spelling of 2730937296761 in words is "two trillion, seven hundred thirty billion, nine hundred thirty-seven million, two hundred ninety-six thousand, seven hundred sixty-one".