2306305540 has 72 divisors (see below), whose sum is σ = 6146183232. Its totient is φ = 718845120.

The previous prime is 2306305537. The next prime is 2306305577. The reversal of 2306305540 is 455036032.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2306305499 and 2306305508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96192 + ... + 117751.

It is an arithmetic number, because the mean of its divisors is an integer number (85363656).

Almost surely, 2^2306305540 is an apocalyptic number.

2306305540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2306305540 is an abundant number, since it is smaller than the sum of its proper divisors (3839877692).

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

2306305540 is a wasteful number, since it uses less digits than its factorization.

2306305540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213977 (or 213968 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 2306305540 is about 48024.0100366473. The cubic root of 2306305540 is about 1321.2113039264.

The spelling of 2306305540 in words is "two billion, three hundred six million, three hundred five thousand, five hundred forty".