2305232640 has 432 divisors, whose sum is σ = 8609328000. Its totient is φ = 567410688.

The previous prime is 2305232593. The next prime is 2305232659. The reversal of 2305232640 is 462325032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15471286 + ... + 15471434.

It is an arithmetic number, because the mean of its divisors is an integer number (19929000).

Almost surely, 2^2305232640 is an apocalyptic number.

2305232640 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 2305232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304664000).

2305232640 is an abundant number, since it is smaller than the sum of its proper divisors (6304095360).

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

2305232640 is a wasteful number, since it uses less digits than its factorization.

2305232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2305232640 is about 48012.8382831092. The cubic root of 2305232640 is about 1321.0063950432.

Adding to 2305232640 its reverse (462325032), we get a palindrome (2767557672).

The spelling of 2305232640 in words is "two billion, three hundred five million, two hundred thirty-two thousand, six hundred forty".