2263000041 has 27 divisors (see below), whose sum is σ = 3322624773. Its totient is φ = 1484215200.

The previous prime is 2263000027. The next prime is 2263000049. The reversal of 2263000041 is 1400003622.

It is a happy number.

The square root of 2263000041 is 47571.

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

2263000041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 300155625 + 1962844416 = 17325^2 + 44304^2 .

It is not a de Polignac number, because 2263000041 - 2⁷ = 2262999913 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2262999978 and 2263000023.

It is not an unprimeable number, because it can be changed into a prime (2263000049) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14413935 + ... + 14414091.

Almost surely, 2^2263000041 is an apocalyptic number.

2263000041 is the 47571-st square number.

2263000041 is the 23786-th centered octagonal number.

It is an amenable number.

2263000041 is a deficient number, since it is larger than the sum of its proper divisors (1059624732).

2263000041 is an equidigital number, since it uses as much as digits as its factorization.

2263000041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The cubic root of 2263000041 is about 1312.8895370581.

Adding to 2263000041 its reverse (1400003622), we get a palindrome (3663003663).

The spelling of 2263000041 in words is "two billion, two hundred sixty-three million, forty-one", and thus it is an aban number.