2305362540 has 96 divisors (see below), whose sum is σ = 7191334080. Its totient is φ = 547900416.

The previous prime is 2305362491. The next prime is 2305362541. The reversal of 2305362540 is 452635032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2305362498 and 2305362507.

It is not an unprimeable number, because it can be changed into a prime (2305362541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28339 + ... + 73578.

It is an arithmetic number, because the mean of its divisors is an integer number (74909730).

Almost surely, 2^2305362540 is an apocalyptic number.

2305362540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2305362540 is an abundant number, since it is smaller than the sum of its proper divisors (4885971540).

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

2305362540 is a wasteful number, since it uses less digits than its factorization.

2305362540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101971 (or 101969 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2305362540 is about 48014.1910272369. The cubic root of 2305362540 is about 1321.0312075075.

Adding to 2305362540 its reverse (452635032), we get a palindrome (2757997572).

The spelling of 2305362540 in words is "two billion, three hundred five million, three hundred sixty-two thousand, five hundred forty".