2532676608 has 528 divisors, whose sum is σ = 9442008576. Its totient is φ = 634798080.

The previous prime is 2532676589. The next prime is 2532676669. The reversal of 2532676608 is 8066762352.

It is a happy number.

2532676608 is a `hidden beast` number, since 2 + 5 + 32 + 6 + 7 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30514135 + ... + 30514217.

It is an arithmetic number, because the mean of its divisors is an integer number (17882592).

Almost surely, 2^2532676608 is an apocalyptic number.

2532676608 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 2532676608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721004288).

2532676608 is an abundant number, since it is smaller than the sum of its proper divisors (6909331968).

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

2532676608 is a wasteful number, since it uses less digits than its factorization.

2532676608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2532676608 is about 50325.7052409601. The cubic root of 2532676608 is about 1363.0964280235.

The spelling of 2532676608 in words is "two billion, five hundred thirty-two million, six hundred seventy-six thousand, six hundred eight".