2526766848 has 216 divisors, whose sum is σ = 7966498176. Its totient is φ = 766771200.

The previous prime is 2526766843. The next prime is 2526766937. The reversal of 2526766848 is 8486676252.

2526766848 is a `hidden beast` number, since 2 + 526 + 76 + 6 + 8 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2526766794 and 2526766803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2526766841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213168 + ... + 1215248.

It is an arithmetic number, because the mean of its divisors is an integer number (36881936).

Almost surely, 2^2526766848 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 2526766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983249088).

2526766848 is an abundant number, since it is smaller than the sum of its proper divisors (5439731328).

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

2526766848 is a wasteful number, since it uses less digits than its factorization.

2526766848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2134 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 2526766848 is about 50266.9558258703. The cubic root of 2526766848 is about 1362.0353836862.

The spelling of 2526766848 in words is "two billion, five hundred twenty-six million, seven hundred sixty-six thousand, eight hundred forty-eight".