2505016164 has 144 divisors (see below), whose sum is σ = 7470955520. Its totient is φ = 638046720.

The previous prime is 2505016133. The next prime is 2505016177. The reversal of 2505016164 is 4616105052.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458529 + ... + 463959.

Almost surely, 2^2505016164 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 2505016164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735477760).

2505016164 is an abundant number, since it is smaller than the sum of its proper divisors (4965939356).

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

2505016164 is a wasteful number, since it uses less digits than its factorization.

2505016164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5498 (or 5479 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2505016164 is about 50050.1365033104. The cubic root of 2505016164 is about 1358.1159327916.

It can be divided in two parts, 25050 and 16164, that added together give a palindrome (41214).

The spelling of 2505016164 in words is "two billion, five hundred five million, sixteen thousand, one hundred sixty-four".