2649524256 has 288 divisors, whose sum is σ = 8373879360. Its totient is φ = 824878080.

The previous prime is 2649524243. The next prime is 2649524287. The reversal of 2649524256 is 6524259462.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20225311 + ... + 20225441.

It is an arithmetic number, because the mean of its divisors is an integer number (29075970).

Almost surely, 2^2649524256 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 2649524256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186939680).

2649524256 is an abundant number, since it is smaller than the sum of its proper divisors (5724355104).

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

2649524256 is an equidigital number, since it uses as much as digits as its factorization.

2649524256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 153 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 2649524256 is about 51473.5296633134. The cubic root of 2649524256 is about 1383.7446876655.

The spelling of 2649524256 in words is "two billion, six hundred forty-nine million, five hundred twenty-four thousand, two hundred fifty-six".