2505606016 has 64 divisors (see below), whose sum is σ = 5259870720. Its totient is φ = 1186555392.

The previous prime is 2505605989. The next prime is 2505606017. The reversal of 2505606016 is 6106065052.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505606017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299101 + ... + 307363.

It is an arithmetic number, because the mean of its divisors is an integer number (82185480).

Almost surely, 2^2505606016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505606016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629935360).

2505606016 is an abundant number, since it is smaller than the sum of its proper divisors (2754264704).

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

2505606016 is a wasteful number, since it uses less digits than its factorization.

2505606016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8403 (or 8391 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 2505606016 is about 50056.0287677718. The cubic root of 2505606016 is about 1358.2225221944. Note that the first 3 decimals are identical.

The spelling of 2505606016 in words is "two billion, five hundred five million, six hundred six thousand, sixteen".