2001134241 has 40 divisors (see below), whose sum is σ = 3102561000. Its totient is φ = 1283869440.

The previous prime is 2001134237. The next prime is 2001134257. The reversal of 2001134241 is 1424311002.

It can be written as a sum of positive squares in 4 ways, for example, as 165868641 + 1835265600 = 12879^2 + 42840^2 .

It is not a de Polignac number, because 2001134241 - 2² = 2001134237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2001134281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 818581 + ... + 821021.

It is an arithmetic number, because the mean of its divisors is an integer number (77564025).

Almost surely, 2^2001134241 is an apocalyptic number.

It is an amenable number.

2001134241 is a deficient number, since it is larger than the sum of its proper divisors (1101426759).

2001134241 is a wasteful number, since it uses less digits than its factorization.

2001134241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2001134241 is about 44734.0389524577. The cubic root of 2001134241 is about 1260.1591805695.

Adding to 2001134241 its reverse (1424311002), we get a palindrome (3425445243).

The spelling of 2001134241 in words is "two billion, one million, one hundred thirty-four thousand, two hundred forty-one".