2011728749 has 2 divisors, whose sum is σ = 2011728750. Its totient is φ = 2011728748.

The previous prime is 2011728661. The next prime is 2011728751. The reversal of 2011728749 is 9478271102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1443240100 + 568488649 = 37990^2 + 23843^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011728749 - 2¹² = 2011724653 is a prime.

Together with 2011728751, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011728769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005864374 + 1005864375.

It is an arithmetic number, because the mean of its divisors is an integer number (1005864375).

Almost surely, 2^2011728749 is an apocalyptic number.

It is an amenable number.

2011728749 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011728749 is an equidigital number, since it uses as much as digits as its factorization.

2011728749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 41.

The square root of 2011728749 is about 44852.2992610189. The cubic root of 2011728749 is about 1262.3791340555.

The spelling of 2011728749 in words is "two billion, eleven million, seven hundred twenty-eight thousand, seven hundred forty-nine".