2345253120 has 432 divisors, whose sum is σ = 9387356160. Its totient is φ = 529514496.

The previous prime is 2345253107. The next prime is 2345253143. The reversal of 2345253120 is 213525432.

It is a happy number.

2345253120 is a `hidden beast` number, since 2 + 345 + 2 + 5 + 312 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10241166 + ... + 10241394.

Almost surely, 2^2345253120 is an apocalyptic number.

2345253120 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 2345253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693678080).

2345253120 is an abundant number, since it is smaller than the sum of its proper divisors (7042103040).

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

2345253120 is a wasteful number, since it uses less digits than its factorization.

2345253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2345253120 is about 48427.8134959653. The cubic root of 2345253120 is about 1328.6071158344.

Adding to 2345253120 its reverse (213525432), we get a palindrome (2558778552).

The spelling of 2345253120 in words is "two billion, three hundred forty-five million, two hundred fifty-three thousand, one hundred twenty".