2352613248 has 192 divisors, whose sum is σ = 7187980800. Its totient is φ = 765531648.

The previous prime is 2352613201. The next prime is 2352613309. The reversal of 2352613248 is 8423162532.

2352613248 is a `hidden beast` number, since 2 + 35 + 2 + 613 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1336593 + ... + 1338351.

It is an arithmetic number, because the mean of its divisors is an integer number (37437400).

Almost surely, 2^2352613248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2352613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593990400).

2352613248 is an abundant number, since it is smaller than the sum of its proper divisors (4835367552).

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

2352613248 is an equidigital number, since it uses as much as digits as its factorization.

2352613248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1807 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2352613248 is about 48503.7446801791. The cubic root of 2352613248 is about 1329.9955241337.

The spelling of 2352613248 in words is "two billion, three hundred fifty-two million, six hundred thirteen thousand, two hundred forty-eight".