2305410240 has 224 divisors, whose sum is σ = 8397849600. Its totient is φ = 524906496.

The previous prime is 2305410229. The next prime is 2305410259. The reversal of 2305410240 is 420145032.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2344789 + ... + 2345771.

It is an arithmetic number, because the mean of its divisors is an integer number (37490400).

Almost surely, 2^2305410240 is an apocalyptic number.

2305410240 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 2305410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198924800).

2305410240 is an abundant number, since it is smaller than the sum of its proper divisors (6092439360).

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

2305410240 is a wasteful number, since it uses less digits than its factorization.

2305410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2305410240 is about 48014.6877528116. The cubic root of 2305410240 is about 1321.0403185480.

Adding to 2305410240 its reverse (420145032), we get a palindrome (2725555272).

The spelling of 2305410240 in words is "two billion, three hundred five million, four hundred ten thousand, two hundred forty".