2491288166401 has 16 divisors (see below), whose sum is σ = 2511556876800. Its totient is φ = 2471078263680.

The previous prime is 2491288166387. The next prime is 2491288166443. The reversal of 2491288166401 is 1046618821942.

It is a cyclic number.

It is not a de Polignac number, because 2491288166401 - 2⁹ = 2491288165889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2491288166491) 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 15 ways as a sum of consecutive naturals, for example, 489733680 + ... + 489738766.

It is an arithmetic number, because the mean of its divisors is an integer number (156972304800).

Almost surely, 2^{2491288166401} is an apocalyptic number.

It is an amenable number.

2491288166401 is a deficient number, since it is larger than the sum of its proper divisors (20268710399).

2491288166401 is a wasteful number, since it uses less digits than its factorization.

2491288166401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10104.

The product of its (nonzero) digits is 1327104, while the sum is 52.

The spelling of 2491288166401 in words is "two trillion, four hundred ninety-one billion, two hundred eighty-eight million, one hundred sixty-six thousand, four hundred one".