2428252670241 has 32 divisors (see below), whose sum is σ = 3601487433600. Its totient is φ = 1617001574400.

The previous prime is 2428252670237. The next prime is 2428252670297. The reversal of 2428252670241 is 1420762528242.

2428252670241 is a `hidden beast` number, since 2 + 4 + 2 + 82 + 526 + 7 + 0 + 2 + 41 = 666.

It is not a de Polignac number, because 2428252670241 - 2² = 2428252670237 is a prime.

It is a super-2 number, since 2×2428252670241² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2428252670231) 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 in 31 ways as a sum of consecutive naturals, for example, 252911841 + ... + 252921441.

It is an arithmetic number, because the mean of its divisors is an integer number (112546482300).

Almost surely, 2^{2428252670241} is an apocalyptic number.

It is an amenable number.

2428252670241 is a deficient number, since it is larger than the sum of its proper divisors (1173234763359).

2428252670241 is a wasteful number, since it uses less digits than its factorization.

2428252670241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19246 (or 19240 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 2428252670241 in words is "two trillion, four hundred twenty-eight billion, two hundred fifty-two million, six hundred seventy thousand, two hundred forty-one".