2428041928729 has 2 divisors, whose sum is σ = 2428041928730. Its totient is φ = 2428041928728.

The previous prime is 2428041928693. The next prime is 2428041928751. The reversal of 2428041928729 is 9278291408242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1748670351129 + 679371577600 = 1322373^2 + 824240^2 .

It is a cyclic number.

It is not a de Polignac number, because 2428041928729 - 2¹⁹ = 2428041404441 is a prime.

It is not a weakly prime, because it can be changed into another prime (2428041928789) by changing a digit.

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 as a sum of consecutive naturals, namely, 1214020964364 + 1214020964365.

It is an arithmetic number, because the mean of its divisors is an integer number (1214020964365).

Almost surely, 2^{2428041928729} is an apocalyptic number.

It is an amenable number.

2428041928729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2428041928729 is an equidigital number, since it uses as much as digits as its factorization.

2428041928729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 2428041928729 in words is "two trillion, four hundred twenty-eight billion, forty-one million, nine hundred twenty-eight thousand, seven hundred twenty-nine".