2505656144 has 20 divisors (see below), whose sum is σ = 5022113460. Its totient is φ = 1209626880.

The previous prime is 2505656123. The next prime is 2505656149. The reversal of 2505656144 is 4416565052.

It can be written as a sum of positive squares in 2 ways, for example, as 1409251600 + 1096404544 = 37540^2 + 33112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2505656098 and 2505656107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505656149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2699597 + ... + 2700524.

It is an arithmetic number, because the mean of its divisors is an integer number (251105673).

Almost surely, 2^2505656144 is an apocalyptic number.

It is an amenable number.

2505656144 is an abundant number, since it is smaller than the sum of its proper divisors (2516457316).

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

2505656144 is a wasteful number, since it uses less digits than its factorization.

2505656144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400158 (or 5400152 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The square root of 2505656144 is about 50056.5294841742. The cubic root of 2505656144 is about 1358.2315798201.

The spelling of 2505656144 in words is "two billion, five hundred five million, six hundred fifty-six thousand, one hundred forty-four".