2352365040 has 160 divisors (see below), whose sum is σ = 7520947200. Its totient is φ = 607900672.

The previous prime is 2352365039. The next prime is 2352365051. The reversal of 2352365040 is 405632532.

2352365040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2352364989 and 2352365007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1205986 + ... + 1207934.

It is an arithmetic number, because the mean of its divisors is an integer number (47005920).

Almost surely, 2^2352365040 is an apocalyptic number.

2352365040 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 2352365040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760473600).

2352365040 is an abundant number, since it is smaller than the sum of its proper divisors (5168582160).

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

2352365040 is a wasteful number, since it uses less digits than its factorization.

2352365040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2352365040 is about 48501.1859648813. The cubic root of 2352365040 is about 1329.9487496033.

Adding to 2352365040 its reverse (405632532), we get a palindrome (2757997572).

The spelling of 2352365040 in words is "two billion, three hundred fifty-two million, three hundred sixty-five thousand, forty".