2548288512 has 792 divisors, whose sum is σ = 10193077440. Its totient is φ = 627056640.

The previous prime is 2548288511. The next prime is 2548288517. The reversal of 2548288512 is 2158828452.

2548288512 is a `hidden beast` number, since 2 + 54 + 8 + 2 + 88 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is not an unprimeable number, because it can be changed into a prime (2548288511) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134120439 + ... + 134120457.

Almost surely, 2^2548288512 is an apocalyptic number.

2548288512 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 2548288512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096538720).

2548288512 is an abundant number, since it is smaller than the sum of its proper divisors (7644788928).

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

2548288512 is a wasteful number, since it uses less digits than its factorization.

2548288512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its digits is 409600, while the sum is 45.

The square root of 2548288512 is about 50480.5755910132. The cubic root of 2548288512 is about 1365.8914886433.

The spelling of 2548288512 in words is "two billion, five hundred forty-eight million, two hundred eighty-eight thousand, five hundred twelve".