2532521521440 has 288 divisors, whose sum is σ = 8740256419440. Its totient is φ = 667708489728.

The previous prime is 2532521521291. The next prime is 2532521521489. The reversal of 2532521521440 is 441251252352.

2532521521440 is a `hidden beast` number, since 2 + 5 + 32 + 521 + 52 + 14 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 786222702864 + 1746298818576 = 886692^2 + 1321476^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2532521521395 and 2532521521404.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 66533454 + ... + 66571506.

Almost surely, 2^{2532521521440} is an apocalyptic number.

2532521521440 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 2532521521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370128209720).

2532521521440 is an abundant number, since it is smaller than the sum of its proper divisors (6207734898000).

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

2532521521440 is a wasteful number, since it uses less digits than its factorization.

2532521521440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38596 (or 38585 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 2532521521440 its reverse (441251252352), we get a palindrome (2973772773792).

The spelling of 2532521521440 in words is "two trillion, five hundred thirty-two billion, five hundred twenty-one million, five hundred twenty-one thousand, four hundred forty".