2505605346 has 16 divisors (see below), whose sum is σ = 5568012000. Its totient is φ = 835201764.

The previous prime is 2505605327. The next prime is 2505605357. The reversal of 2505605346 is 6435065052.

It is a happy number.

2505605346 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 605 + 3 + 46 = 666.

It is a super-3 number, since 3×2505605346³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2505605346.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23199996 + ... + 23200103.

It is an arithmetic number, because the mean of its divisors is an integer number (348000750).

Almost surely, 2^2505605346 is an apocalyptic number.

2505605346 is an abundant number, since it is smaller than the sum of its proper divisors (3062406654).

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

2505605346 is a wasteful number, since it uses less digits than its factorization.

2505605346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46400110 (or 46400104 counting only the distinct ones).

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

The square root of 2505605346 is about 50056.0220752708. The cubic root of 2505605346 is about 1358.2224011313. Note that the first 3 decimals are identical.

The spelling of 2505605346 in words is "two billion, five hundred five million, six hundred five thousand, three hundred forty-six".