2532248906880 has 1536 divisors, whose sum is σ = 10763516805120. Its totient is φ = 499770163200.

The previous prime is 2532248906843. The next prime is 2532248906893. The reversal of 2532248906880 is 886098422352.

It is a super-2 number, since 2×2532248906880² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2532248906880.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4546227562 + ... + 4546228118.

It is an arithmetic number, because the mean of its divisors is an integer number (7007497920).

Almost surely, 2^{2532248906880} is an apocalyptic number.

2532248906880 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 2532248906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381758402560).

2532248906880 is an abundant number, since it is smaller than the sum of its proper divisors (8231267898240).

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

2532248906880 is a wasteful number, since it uses less digits than its factorization.

2532248906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 2532248906880 in words is "two trillion, five hundred thirty-two billion, two hundred forty-eight million, nine hundred six thousand, eight hundred eighty".