2459580552 has 480 divisors, whose sum is σ = 8651596800. Its totient is φ = 646652160.

The previous prime is 2459580527. The next prime is 2459580619. The reversal of 2459580552 is 2550859542.

2459580552 is a `hidden beast` number, since 2 + 4 + 5 + 95 + 8 + 0 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2459580498 and 2459580507.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19366713 + ... + 19366839.

It is an arithmetic number, because the mean of its divisors is an integer number (18024160).

Almost surely, 2^2459580552 is an apocalyptic number.

2459580552 is a gapful number since it is divisible by the number (22) 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 2459580552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325798400).

2459580552 is an abundant number, since it is smaller than the sum of its proper divisors (6192016248).

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

2459580552 is a wasteful number, since it uses less digits than its factorization.

2459580552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 2459580552 is about 49594.1584463332. The cubic root of 2459580552 is about 1349.8546806541.

The spelling of 2459580552 in words is "two billion, four hundred fifty-nine million, five hundred eighty thousand, five hundred fifty-two".