2506346505 has 48 divisors (see below), whose sum is σ = 4744486656. Its totient is φ = 1216494720.

The previous prime is 2506346477. The next prime is 2506346509. The reversal of 2506346505 is 5056436052.

It is a happy number.

2506346505 is a `hidden beast` number, since 2 + 50 + 63 + 46 + 505 = 666.

It is not a de Polignac number, because 2506346505 - 2⁵ = 2506346473 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2506346505.

It is not an unprimeable number, because it can be changed into a prime (2506346509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11364 + ... + 71706.

It is an arithmetic number, because the mean of its divisors is an integer number (98843472).

Almost surely, 2^2506346505 is an apocalyptic number.

It is an amenable number.

2506346505 is a deficient number, since it is larger than the sum of its proper divisors (2238140151).

2506346505 is a wasteful number, since it uses less digits than its factorization.

2506346505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60438 (or 60435 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 2506346505 is about 50063.4248229184. The cubic root of 2506346505 is about 1358.3563088272.

The spelling of 2506346505 in words is "two billion, five hundred six million, three hundred forty-six thousand, five hundred five".