2406444817984 has 63 divisors (see below), whose sum is σ = 4803254499771. Its totient is φ = 1196216864640.

The previous prime is 2406444817981. The next prime is 2406444817991. The reversal of 2406444817984 is 4897184446042.

It is a happy number.

The square root of 2406444817984 is 1551272.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2406444817981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2618546677 + ... + 2618547595.

It is an arithmetic number, because the mean of its divisors is an integer number (76242134917).

Almost surely, 2^{2406444817984} is an apocalyptic number.

2406444817984 is the 1551272-nd square number.

It is an amenable number.

2406444817984 is a deficient number, since it is larger than the sum of its proper divisors (2396809681787).

2406444817984 is an frugal number, since it uses more digits than its factorization.

2406444817984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 61.

The spelling of 2406444817984 in words is "two trillion, four hundred six billion, four hundred forty-four million, eight hundred seventeen thousand, nine hundred eighty-four".