2884049666001 has 243 divisors, whose sum is σ = 5300433678267. Its totient is φ = 1506414792960.

The previous prime is 2884049665883. The next prime is 2884049666039. The reversal of 2884049666001 is 1006669404882.

The square root of 2884049666001 is 1698249.

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

It can be written as a sum of positive squares in only one way, i.e., 2245367387025 + 638682278976 = 1498455^2 + 799176^2 .

It is not a de Polignac number, because 2884049666001 - 2¹¹ = 2884049663953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2884049666041) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 40620417796 + ... + 40620417866.

Almost surely, 2^{2884049666001} is an apocalyptic number.

2884049666001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2884049666001 is the 1698249-th square number.

2884049666001 is the 849125-th centered octagonal number.

It is an amenable number.

2884049666001 is a deficient number, since it is larger than the sum of its proper divisors (2416384012266).

2884049666001 is an equidigital number, since it uses as much as digits as its factorization.

2884049666001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2884049666001 in words is "two trillion, eight hundred eighty-four billion, forty-nine million, six hundred sixty-six thousand, one".