2503664656 has 80 divisors (see below), whose sum is σ = 5453222400. Its totient is φ = 1107993600.

The previous prime is 2503664651. The next prime is 2503664689. The reversal of 2503664656 is 6564663052.

It is not an unprimeable number, because it can be changed into a prime (2503664651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268716 + ... + 277876.

It is an arithmetic number, because the mean of its divisors is an integer number (68165280).

Almost surely, 2^2503664656 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 2503664656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726611200).

2503664656 is an abundant number, since it is smaller than the sum of its proper divisors (2949557744).

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

2503664656 is a wasteful number, since it uses less digits than its factorization.

2503664656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9248 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The square root of 2503664656 is about 50036.6331401304. The cubic root of 2503664656 is about 1357.8716449808.

The spelling of 2503664656 in words is "two billion, five hundred three million, six hundred sixty-four thousand, six hundred fifty-six".