2305263341340 has 72 divisors (see below), whose sum is σ = 7155251511408. Its totient is φ = 600440682240.

The previous prime is 2305263341309. The next prime is 2305263341377. The reversal of 2305263341340 is 431433625032.

2305263341340 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 2 + 633 + 4 + 13 + 4 + 0 = 666.

It is a super-2 number, since 2×2305263341340² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2305263341295 and 2305263341304.

It is a congruent number.

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, 148911081 + ... + 148926560.

It is an arithmetic number, because the mean of its divisors is an integer number (99378493214).

Almost surely, 2^{2305263341340} is an apocalyptic number.

2305263341340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2305263341340 is an abundant number, since it is smaller than the sum of its proper divisors (4849988170068).

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

2305263341340 is a wasteful number, since it uses less digits than its factorization.

2305263341340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297837699 (or 297837694 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 2305263341340 its reverse (431433625032), we get a palindrome (2736696966372).

The spelling of 2305263341340 in words is "two trillion, three hundred five billion, two hundred sixty-three million, three hundred forty-one thousand, three hundred forty".