2563085712 has 160 divisors (see below), whose sum is σ = 7642368000. Its totient is φ = 732049920.

The previous prime is 2563085677. The next prime is 2563085713. The reversal of 2563085712 is 2175803652.

It is not an unprimeable number, because it can be changed into a prime (2563085713) 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 31 ways as a sum of consecutive naturals, for example, 2397114 + ... + 2398182.

It is an arithmetic number, because the mean of its divisors is an integer number (47764800).

Almost surely, 2^2563085712 is an apocalyptic number.

2563085712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563085712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821184000).

2563085712 is an abundant number, since it is smaller than the sum of its proper divisors (5079282288).

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

2563085712 is a wasteful number, since it uses less digits than its factorization.

2563085712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 2563085712 is about 50626.9267485199. The cubic root of 2563085712 is about 1368.5301713725.

The spelling of 2563085712 in words is "two billion, five hundred sixty-three million, eighty-five thousand, seven hundred twelve".