2506502306 has 128 divisors (see below), whose sum is σ = 5170176000. Its totient is φ = 881798400.

The previous prime is 2506502291. The next prime is 2506502333. The reversal of 2506502306 is 6032056052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9248951 + ... + 9249221.

It is an arithmetic number, because the mean of its divisors is an integer number (40392000).

Almost surely, 2^2506502306 is an apocalyptic number.

2506502306 is an abundant number, since it is smaller than the sum of its proper divisors (2663673694).

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

2506502306 is a wasteful number, since it uses less digits than its factorization.

2506502306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448.

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 2506502306 is about 50064.9808349109. The cubic root of 2506502306 is about 1358.3844545612.

Adding to 2506502306 its reverse (6032056052), we get a palindrome (8538558358).

The spelling of 2506502306 in words is "two billion, five hundred six million, five hundred two thousand, three hundred six".