2352382560 has 480 divisors, whose sum is σ = 9385437600. Its totient is φ = 549642240.

The previous prime is 2352382537. The next prime is 2352382567. The reversal of 2352382560 is 652832532.

2352382560 is a `hidden beast` number, since 2 + 3 + 523 + 82 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352382567) 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 79 ways as a sum of consecutive naturals, for example, 4133956 + ... + 4134524.

It is an arithmetic number, because the mean of its divisors is an integer number (19552995).

Almost surely, 2^2352382560 is an apocalyptic number.

2352382560 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 2352382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692718800).

2352382560 is an abundant number, since it is smaller than the sum of its proper divisors (7033055040).

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

2352382560 is a wasteful number, since it uses less digits than its factorization.

2352382560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2352382560 is about 48501.3665786852. The cubic root of 2352382560 is about 1329.9520513364.

The spelling of 2352382560 in words is "two billion, three hundred fifty-two million, three hundred eighty-two thousand, five hundred sixty".