2041540506 has 72 divisors (see below), whose sum is σ = 4713865884. Its totient is φ = 638438400.

The previous prime is 2041540493. The next prime is 2041540531. The reversal of 2041540506 is 6050451402.

2041540506 is a `hidden beast` number, since 2 + 0 + 4 + 154 + 0 + 506 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1665374481 + 376166025 = 40809^2 + 19395^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2041540506.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3126076 + ... + 3126728.

Almost surely, 2^2041540506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041540506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356932942).

2041540506 is an abundant number, since it is smaller than the sum of its proper divisors (2672325378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2041540506 is a wasteful number, since it uses less digits than its factorization.

2041540506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2041540506 is about 45183.4096322976. The cubic root of 2041540506 is about 1268.5843042256.

Adding to 2041540506 its reverse (6050451402), we get a palindrome (8091991908).

The spelling of 2041540506 in words is "two billion, forty-one million, five hundred forty thousand, five hundred six".