2505810816306 has 96 divisors (see below), whose sum is σ = 6240206988288. Its totient is φ = 711874487520.

The previous prime is 2505810816281. The next prime is 2505810816307. The reversal of 2505810816306 is 6036180185052.

2505810816306 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 8 + 1 + 0 + 8 + 1 + 630 + 6 = 666.

It is a super-2 number, since 2×2505810816306² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2505810816307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28216585 + ... + 28305251.

It is an arithmetic number, because the mean of its divisors is an integer number (65002156128).

Almost surely, 2^{2505810816306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505810816306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120103494144).

2505810816306 is an abundant number, since it is smaller than the sum of its proper divisors (3734396171982).

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

2505810816306 is a wasteful number, since it uses less digits than its factorization.

2505810816306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89956 (or 89953 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 2505810816306 in words is "two trillion, five hundred five billion, eight hundred ten million, eight hundred sixteen thousand, three hundred six".