2248152330241 has 24 divisors (see below), whose sum is σ = 2374593788160. Its totient is φ = 2127406962240.

The previous prime is 2248152330191. The next prime is 2248152330251. The reversal of 2248152330241 is 1420332518422.

It is not a de Polignac number, because 2248152330241 - 2²³ = 2248143941633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2248152330241.

It is not an unprimeable number, because it can be changed into a prime (2248152330251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50971500 + ... + 51015586.

It is an arithmetic number, because the mean of its divisors is an integer number (98941407840).

Almost surely, 2^{2248152330241} is an apocalyptic number.

It is an amenable number.

2248152330241 is a deficient number, since it is larger than the sum of its proper divisors (126441457919).

2248152330241 is a wasteful number, since it uses less digits than its factorization.

2248152330241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45325 (or 45294 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 2248152330241 its reverse (1420332518422), we get a palindrome (3668484848663).

The spelling of 2248152330241 in words is "two trillion, two hundred forty-eight billion, one hundred fifty-two million, three hundred thirty thousand, two hundred forty-one".