2523756088 has 128 divisors (see below), whose sum is σ = 5818377600. Its totient is φ = 1003290624.

The previous prime is 2523756083. The next prime is 2523756089. The reversal of 2523756088 is 8806573252.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523756083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5828320 + ... + 5828752.

It is an arithmetic number, because the mean of its divisors is an integer number (45456075).

Almost surely, 2^2523756088 is an apocalyptic number.

2523756088 is a gapful number since it is divisible by the number (28) 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 2523756088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909188800).

2523756088 is an abundant number, since it is smaller than the sum of its proper divisors (3294621512).

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

2523756088 is a wasteful number, since it uses less digits than its factorization.

2523756088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The square root of 2523756088 is about 50236.9991938213. Note that the first 3 decimals coincide. The cubic root of 2523756088 is about 1361.4941925479.

The spelling of 2523756088 in words is "two billion, five hundred twenty-three million, seven hundred fifty-six thousand, eighty-eight".