2448009984 has 288 divisors, whose sum is σ = 7913844736. Its totient is φ = 656916480.

The previous prime is 2448009943. The next prime is 2448009997. The reversal of 2448009984 is 4899008442.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6166074 + ... + 6166470.

Almost surely, 2^2448009984 is an apocalyptic number.

2448009984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2448009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956922368).

2448009984 is an abundant number, since it is smaller than the sum of its proper divisors (5465834752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2448009984 is a wasteful number, since it uses less digits than its factorization.

2448009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 2448009984 is about 49477.3684021291. The cubic root of 2448009984 is about 1347.7346523705.

The spelling of 2448009984 in words is "two billion, four hundred forty-eight million, nine thousand, nine hundred eighty-four".