2872079267841 has 27 divisors (see below), whose sum is σ = 4825934488323. Its totient is φ = 1641167816400.

The previous prime is 2872079267831. The next prime is 2872079267861. The reversal of 2872079267841 is 1487629702782.

The square root of 2872079267841 is 1694721.

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

2872079267841 is a `hidden beast` number, since 287 + 20 + 79 + 267 + 8 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2127137657841 + 744941610000 = 1458471^2 + 863100^2 .

It is not a de Polignac number, because 2872079267841 - 2¹⁵ = 2872079235073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2872079267831) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35548791 + ... + 35629491.

Almost surely, 2^{2872079267841} is an apocalyptic number.

2872079267841 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2872079267841 is the 1694721-st square number.

2872079267841 is the 847361-st centered octagonal number.

It is an amenable number.

2872079267841 is a deficient number, since it is larger than the sum of its proper divisors (1953855220482).

2872079267841 is an frugal number, since it uses more digits than its factorization.

2872079267841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161422 (or 80711 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 2872079267841 in words is "two trillion, eight hundred seventy-two billion, seventy-nine million, two hundred sixty-seven thousand, eight hundred forty-one".