2768300320041 has 99 divisors (see below), whose sum is σ = 4281814654903. Its totient is φ = 1789738973280.

The previous prime is 2768300320039. The next prime is 2768300320043. The reversal of 2768300320041 is 1400230038672.

It is a happy number.

The square root of 2768300320041 is 1663821.

It is a perfect power (a square), and thus also a powerful number.

2768300320041 is a `hidden beast` number, since 27 + 6 + 8 + 300 + 320 + 0 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2768300320039) and next prime (2768300320043).

It can be written as a sum of positive squares in only one way, i.e., 133392222441 + 2634908097600 = 365229^2 + 1623240^2 .

It is not a de Polignac number, because 2768300320041 - 2¹ = 2768300320039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2768300319978 and 2768300320005.

It is not an unprimeable number, because it can be changed into a prime (2768300320043) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 16576648540 + ... + 16576648706.

Almost surely, 2^{2768300320041} is an apocalyptic number.

2768300320041 is the 1663821-st square number.

2768300320041 is the 831911-st centered octagonal number.

It is an amenable number.

2768300320041 is a deficient number, since it is larger than the sum of its proper divisors (1513514334862).

2768300320041 is an frugal number, since it uses more digits than its factorization.

2768300320041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 2768300320041 by its sum of digits (36), we get a square (99658811521476 = 9982926²).

The spelling of 2768300320041 in words is "two trillion, seven hundred sixty-eight billion, three hundred million, three hundred twenty thousand, forty-one".