2529307056 has 320 divisors, whose sum is σ = 7829498880. Its totient is φ = 697466880.

The previous prime is 2529307051. The next prime is 2529307093. The reversal of 2529307056 is 6507039252.

It is not an unprimeable number, because it can be changed into a prime (2529307051) 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 63 ways as a sum of consecutive naturals, for example, 14620186 + ... + 14620358.

It is an arithmetic number, because the mean of its divisors is an integer number (24467184).

Almost surely, 2^2529307056 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 2529307056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914749440).

2529307056 is an abundant number, since it is smaller than the sum of its proper divisors (5300191824).

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

2529307056 is a wasteful number, since it uses less digits than its factorization.

2529307056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 2529307056 is about 50292.2166542697. The cubic root of 2529307056 is about 1362.4916577331.

The spelling of 2529307056 in words is "two billion, five hundred twenty-nine million, three hundred seven thousand, fifty-six".