2305530040 has 128 divisors (see below), whose sum is σ = 5832933120. Its totient is φ = 812876800.

The previous prime is 2305530013. The next prime is 2305530049. The reversal of 2305530040 is 400355032.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2305529993 and 2305530020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305530049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4094799 + ... + 4095361.

It is an arithmetic number, because the mean of its divisors is an integer number (45569790).

Almost surely, 2^2305530040 is an apocalyptic number.

2305530040 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 2305530040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916466560).

2305530040 is an abundant number, since it is smaller than the sum of its proper divisors (3527403080).

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

2305530040 is a wasteful number, since it uses less digits than its factorization.

2305530040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 2305530040 is about 48015.9352715325. The cubic root of 2305530040 is about 1321.0632006488.

Adding to 2305530040 its reverse (400355032), we get a palindrome (2705885072).

The spelling of 2305530040 in words is "two billion, three hundred five million, five hundred thirty thousand, forty".