2538528768 has 224 divisors, whose sum is σ = 7863840000. Its totient is φ = 807763968.

The previous prime is 2538528767. The next prime is 2538528781. The reversal of 2538528768 is 8678258352.

2538528768 is a `hidden beast` number, since 2 + 53 + 8 + 528 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538528767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5086983 + ... + 5087481.

Almost surely, 2^2538528768 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 2538528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931920000).

2538528768 is an abundant number, since it is smaller than the sum of its proper divisors (5325311232).

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

2538528768 is an equidigital number, since it uses as much as digits as its factorization.

2538528768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 527 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 2538528768 is about 50383.8145439585. The cubic root of 2538528768 is about 1364.1455055286.

The spelling of 2538528768 in words is "two billion, five hundred thirty-eight million, five hundred twenty-eight thousand, seven hundred sixty-eight".