24988970241 has 81 divisors (see below), whose sum is σ = 39579693699. Its totient is φ = 15190759584.

The previous prime is 24988970231. The next prime is 24988970257. The reversal of 24988970241 is 14207988942.

The square root of 24988970241 is 158079.

It is a perfect power (a square), and thus also a powerful number.

24988970241 is a `hidden beast` number, since 2 + 498 + 89 + 70 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13103609841 + 11885360400 = 114471^2 + 109020^2 .

It is not a de Polignac number, because 24988970241 - 2⁷ = 24988970113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (24988970231) 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 in 80 ways as a sum of consecutive naturals, for example, 316316040 + ... + 316316118.

Almost surely, 2^24988970241 is an apocalyptic number.

24988970241 is the 158079-th square number.

24988970241 is the 79040-th centered octagonal number.

It is an amenable number.

24988970241 is a deficient number, since it is larger than the sum of its proper divisors (14590723458).

24988970241 is an equidigital number, since it uses as much as digits as its factorization.

24988970241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 24988970241 in words is "twenty-four billion, nine hundred eighty-eight million, nine hundred seventy thousand, two hundred forty-one".