2306641322304 has 126 divisors (see below), whose sum is σ = 7267264072250. Its totient is φ = 698982197760.

The previous prime is 2306641322291. The next prime is 2306641322311. The reversal of 2306641322304 is 4032231466032.

2306641322304 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 6 + 413 + 2 + 230 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1309742913600 + 996898408704 = 1144440^2 + 998448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16478179 + ... + 16617570.

Almost surely, 2^{2306641322304} is an apocalyptic number.

2306641322304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2306641322304 is an abundant number, since it is smaller than the sum of its proper divisors (4960622749946).

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

2306641322304 is a wasteful number, since it uses less digits than its factorization.

2306641322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33095789 (or 33095765 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 2306641322304 its reverse (4032231466032), we get a palindrome (6338872788336).

The spelling of 2306641322304 in words is "two trillion, three hundred six billion, six hundred forty-one million, three hundred twenty-two thousand, three hundred four".