2532813360 has 640 divisors, whose sum is σ = 10490757120. Its totient is φ = 489984000.

The previous prime is 2532813319. The next prime is 2532813379. The reversal of 2532813360 is 633182352.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 127 ways as a sum of consecutive naturals, for example, 25077310 + ... + 25077410.

It is an arithmetic number, because the mean of its divisors is an integer number (16391808).

Almost surely, 2^2532813360 is an apocalyptic number.

2532813360 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 2532813360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245378560).

2532813360 is an abundant number, since it is smaller than the sum of its proper divisors (7957943760).

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

2532813360 is a wasteful number, since it uses less digits than its factorization.

2532813360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2532813360 is about 50327.0638921048. The cubic root of 2532813360 is about 1363.1209610685.

The spelling of 2532813360 in words is "two billion, five hundred thirty-two million, eight hundred thirteen thousand, three hundred sixty".