2267882390601 has 27 divisors (see below), whose sum is σ = 3385119879687. Its totient is φ = 1463059572480.

The previous prime is 2267882390563. The next prime is 2267882390617. The reversal of 2267882390601 is 1060932887622.

The square root of 2267882390601 is 1505949.

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

2267882390601 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 8 + 8 + 23 + 9 + 0 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2232170462025 + 35711928576 = 1494045^2 + 188976^2 .

It is not a de Polignac number, because 2267882390601 - 2⁹ = 2267882390089 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2267882390671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 140045161 + ... + 140061353.

Almost surely, 2^{2267882390601} is an apocalyptic number.

2267882390601 is the 1505949-th square number.

2267882390601 is the 752975-th centered octagonal number.

It is an amenable number.

2267882390601 is a deficient number, since it is larger than the sum of its proper divisors (1117237489086).

2267882390601 is an frugal number, since it uses more digits than its factorization.

2267882390601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32454 (or 16227 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2267882390601 in words is "two trillion, two hundred sixty-seven billion, eight hundred eighty-two million, three hundred ninety thousand, six hundred one".