2481695505 has 12 divisors (see below), whose sum is σ = 4301605620. Its totient is φ = 1323570912.

The previous prime is 2481695497. The next prime is 2481695509. The reversal of 2481695505 is 5055961842.

2481695505 is a `hidden beast` number, since 2 + 4 + 81 + 69 + 5 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1882865664 + 598829841 = 43392^2 + 24471^2 .

It is not a de Polignac number, because 2481695505 - 2³ = 2481695497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 55148789 = 2481695505 / (2 + 4 + 8 + 1 + 6 + 9 + 5 + 5 + 0 + 5).

It is not an unprimeable number, because it can be changed into a prime (2481695509) 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 11 ways as a sum of consecutive naturals, for example, 27574350 + ... + 27574439.

It is an arithmetic number, because the mean of its divisors is an integer number (358467135).

Almost surely, 2^2481695505 is an apocalyptic number.

It is an amenable number.

2481695505 is a deficient number, since it is larger than the sum of its proper divisors (1819910115).

2481695505 is a wasteful number, since it uses less digits than its factorization.

2481695505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55148800 (or 55148797 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 2481695505 is about 49816.6187632200. The cubic root of 2481695505 is about 1353.8882880910. Note that the first 3 decimals are identical.

The spelling of 2481695505 in words is "two billion, four hundred eighty-one million, six hundred ninety-five thousand, five hundred five".