2448192384 has 128 divisors (see below), whose sum is σ = 7882560000. Its totient is φ = 741864960.

The previous prime is 2448192371. The next prime is 2448192391. The reversal of 2448192384 is 4832918442.

2448192384 is a `hidden beast` number, since 2 + 4 + 481 + 92 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5817 + ... + 70215.

It is an arithmetic number, because the mean of its divisors is an integer number (61582500).

Almost surely, 2^2448192384 is an apocalyptic number.

2448192384 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 2448192384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941280000).

2448192384 is an abundant number, since it is smaller than the sum of its proper divisors (5434367616).

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

2448192384 is a wasteful number, since it uses less digits than its factorization.

2448192384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64433 (or 64415 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 2448192384 is about 49479.2116347866. The cubic root of 2448192384 is about 1347.7681245509.

The spelling of 2448192384 in words is "two billion, four hundred forty-eight million, one hundred ninety-two thousand, three hundred eighty-four".