2448987009408 has 96 divisors (see below), whose sum is σ = 7049413800000. Its totient is φ = 816074327040.

The previous prime is 2448987009283. The next prime is 2448987009473. The reversal of 2448987009408 is 8049007898442.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2448987009408³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3380593 + ... + 4040591.

It is an arithmetic number, because the mean of its divisors is an integer number (73431393750).

Almost surely, 2^{2448987009408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2448987009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524706900000).

2448987009408 is an abundant number, since it is smaller than the sum of its proper divisors (4600426790592).

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

2448987009408 is a wasteful number, since it uses less digits than its factorization.

2448987009408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663240 (or 663225 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 2448987009408 in words is "two trillion, four hundred forty-eight billion, nine hundred eighty-seven million, nine thousand, four hundred eight".