2532534160 has 80 divisors (see below), whose sum is σ = 6412558320. Its totient is φ = 924549120.

The previous prime is 2532534107. The next prime is 2532534161. The reversal of 2532534160 is 614352352.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 345662464 + 2186871696 = 18592^2 + 46764^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2532534161) 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 15 ways as a sum of consecutive naturals, for example, 78880 + ... + 106240.

It is an arithmetic number, because the mean of its divisors is an integer number (80156979).

Almost surely, 2^2532534160 is an apocalyptic number.

2532534160 is a gapful number since it is divisible by the number (20) 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 2532534160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206279160).

2532534160 is an abundant number, since it is smaller than the sum of its proper divisors (3880024160).

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

2532534160 is a wasteful number, since it uses less digits than its factorization.

2532534160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27476 (or 27470 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 2532534160 is about 50324.2899602170. The cubic root of 2532534160 is about 1363.0708721879.

The spelling of 2532534160 in words is "two billion, five hundred thirty-two million, five hundred thirty-four thousand, one hundred sixty".