1024992241 has 48 divisors (see below), whose sum is σ = 1331951376. Its totient is φ = 781208064.

The previous prime is 1024992229. The next prime is 1024992253. The reversal of 1024992241 is 1422994201.

It is a happy number.

1024992241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1024992229) and next prime (1024992253).

It can be written as a sum of positive squares in 8 ways, for example, as 64240225 + 960752016 = 8015^2 + 30996^2 .

It is not a de Polignac number, because 1024992241 - 2²⁵ = 991437809 is a prime.

It is a super-2 number, since 2×1024992241² = 2101218188220404162, which contains 22 as substring.

It is the 32016-th Hogben number.

1024992241 is a modest number, since divided by 92241 gives 10249 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1024992197 and 1024992206.

It is not an unprimeable number, because it can be changed into a prime (1024995241) by changing a digit.

It is a nontrivial repunit in base 32015.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3700195 + ... + 3700471.

It is an arithmetic number, because the mean of its divisors is an integer number (27748987).

Almost surely, 2^1024992241 is an apocalyptic number.

It is an amenable number.

1024992241 is a deficient number, since it is larger than the sum of its proper divisors (306959135).

1024992241 is a wasteful number, since it uses less digits than its factorization.

1024992241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1024992241 is about 32015.5000117131. The cubic root of 1024992241 is about 1008.2622934963.

It can be divided in two parts, 10249 and 92241, that multiplied together give a square (945378009 = 30747²).

The spelling of 1024992241 in words is "one billion, twenty-four million, nine hundred ninety-two thousand, two hundred forty-one".