2358538560 has 504 divisors, whose sum is σ = 9802185120. Its totient is φ = 538223616.

The previous prime is 2358538529. The next prime is 2358538561. The reversal of 2358538560 is 658358532.

2358538560 is a `hidden beast` number, since 2 + 3 + 5 + 85 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2358538561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3809931 + ... + 3810549.

It is an arithmetic number, because the mean of its divisors is an integer number (19448780).

Almost surely, 2^2358538560 is an apocalyptic number.

2358538560 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 2358538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901092560).

2358538560 is an abundant number, since it is smaller than the sum of its proper divisors (7443646560).

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

2358538560 is an equidigital number, since it uses as much as digits as its factorization.

2358538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 2358538560 is about 48564.7872434339. The cubic root of 2358538560 is about 1331.1111674304. Note that the first 4 decimals are identical.

The spelling of 2358538560 in words is "two billion, three hundred fifty-eight million, five hundred thirty-eight thousand, five hundred sixty".