2564519250 has 64 divisors (see below), whose sum is σ = 6557241600. Its totient is φ = 667184000.

The previous prime is 2564519227. The next prime is 2564519257. The reversal of 2564519250 is 529154652.

It is a junction number, because it is equal to n+sod(n) for n = 2564519199 and 2564519208.

It is not an unprimeable number, because it can be changed into a prime (2564519257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10950 + ... + 72449.

It is an arithmetic number, because the mean of its divisors is an integer number (102456900).

Almost surely, 2^2564519250 is an apocalyptic number.

2564519250 is an abundant number, since it is smaller than the sum of its proper divisors (3992722350).

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

2564519250 is a wasteful number, since it uses less digits than its factorization.

2564519250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83460 (or 83450 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 2564519250 is about 50641.0826306073. The cubic root of 2564519250 is about 1368.7852642027.

The spelling of 2564519250 in words is "two billion, five hundred sixty-four million, five hundred nineteen thousand, two hundred fifty".