2723640402337 has 2 divisors, whose sum is σ = 2723640402338. Its totient is φ = 2723640402336.

The previous prime is 2723640402227. The next prime is 2723640402347. The reversal of 2723640402337 is 7332040463272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1624768312896 + 1098872089441 = 1274664^2 + 1048271^2 .

It is a cyclic number.

It is not a de Polignac number, because 2723640402337 - 2⁷ = 2723640402209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2723640402293 and 2723640402302.

It is not a weakly prime, because it can be changed into another prime (2723640402347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1361820201168 + 1361820201169.

It is an arithmetic number, because the mean of its divisors is an integer number (1361820201169).

Almost surely, 2^{2723640402337} is an apocalyptic number.

It is an amenable number.

2723640402337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2723640402337 is an equidigital number, since it uses as much as digits as its factorization.

2723640402337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1016064, while the sum is 43.

The spelling of 2723640402337 in words is "two trillion, seven hundred twenty-three billion, six hundred forty million, four hundred two thousand, three hundred thirty-seven".