2305144140 has 192 divisors, whose sum is σ = 7155800064. Its totient is φ = 550904832.

The previous prime is 2305144139. The next prime is 2305144147. The reversal of 2305144140 is 414415032.

It is a self number, because there is not a number n which added to its sum of digits gives 2305144140.

It is not an unprimeable number, because it can be changed into a prime (2305144147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8321682 + ... + 8321958.

It is an arithmetic number, because the mean of its divisors is an integer number (37269792).

Almost surely, 2^2305144140 is an apocalyptic number.

2305144140 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 2305144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577900032).

2305144140 is an abundant number, since it is smaller than the sum of its proper divisors (4850655924).

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

2305144140 is a wasteful number, since it uses less digits than its factorization.

2305144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2305144140 is about 48011.9166457662. The cubic root of 2305144140 is about 1320.9894899436.

Adding to 2305144140 its reverse (414415032), we get a palindrome (2719559172).

The spelling of 2305144140 in words is "two billion, three hundred five million, one hundred forty-four thousand, one hundred forty".