2242515435305 has 16 divisors (see below), whose sum is σ = 2851302240144. Its totient is φ = 1687303833600.

The previous prime is 2242515435299. The next prime is 2242515435313. The reversal of 2242515435305 is 5035345152422.

It can be written as a sum of positive squares in 8 ways, for example, as 4131404176 + 2238384031129 = 64276^2 + 1496123^2 .

It is not a de Polignac number, because 2242515435305 - 2⁴ = 2242515435289 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 9083546 + ... + 9327155.

It is an arithmetic number, because the mean of its divisors is an integer number (178206390009).

Almost surely, 2^{2242515435305} is an apocalyptic number.

It is an amenable number.

2242515435305 is a deficient number, since it is larger than the sum of its proper divisors (608786804839).

2242515435305 is a wasteful number, since it uses less digits than its factorization.

2242515435305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18412156.

The product of its (nonzero) digits is 720000, while the sum is 41.

The spelling of 2242515435305 in words is "two trillion, two hundred forty-two billion, five hundred fifteen million, four hundred thirty-five thousand, three hundred five".