2453581260 has 192 divisors, whose sum is σ = 8321564160. Its totient is φ = 596540160.

The previous prime is 2453581241. The next prime is 2453581261. The reversal of 2453581260 is 621853542.

2453581260 is a `hidden beast` number, since 2 + 4 + 53 + 581 + 26 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2453581261) 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 63 ways as a sum of consecutive naturals, for example, 580555 + ... + 584765.

It is an arithmetic number, because the mean of its divisors is an integer number (43341480).

Almost surely, 2^2453581260 is an apocalyptic number.

2453581260 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 2453581260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160782080).

2453581260 is an abundant number, since it is smaller than the sum of its proper divisors (5867982900).

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

2453581260 is a wasteful number, since it uses less digits than its factorization.

2453581260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2453581260 is about 49533.6376616941. The cubic root of 2453581260 is about 1348.7562866559.

The spelling of 2453581260 in words is "two billion, four hundred fifty-three million, five hundred eighty-one thousand, two hundred sixty".