2528263872 has 168 divisors, whose sum is σ = 7525548576. Its totient is φ = 810860544.

The previous prime is 2528263849. The next prime is 2528263879. The reversal of 2528263872 is 2783628252.

It is a happy number.

2528263872 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 2 + 638 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2528263879) 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, 2066653 + ... + 2067875.

It is an arithmetic number, because the mean of its divisors is an integer number (44794932).

Almost surely, 2^2528263872 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 2528263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762774288).

2528263872 is an abundant number, since it is smaller than the sum of its proper divisors (4997284704).

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

2528263872 is a wasteful number, since it uses less digits than its factorization.

2528263872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1362 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2528263872 is about 50281.8443575810. The cubic root of 2528263872 is about 1362.3043172330.

The spelling of 2528263872 in words is "two billion, five hundred twenty-eight million, two hundred sixty-three thousand, eight hundred seventy-two".