2448765144 has 384 divisors, whose sum is σ = 8422502400. Its totient is φ = 627056640.

The previous prime is 2448765107. The next prime is 2448765169. The reversal of 2448765144 is 4415678442.

2448765144 is a `hidden beast` number, since 2 + 448 + 7 + 65 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2448765144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21670432 + ... + 21670544.

It is an arithmetic number, because the mean of its divisors is an integer number (21933600).

Almost surely, 2^2448765144 is an apocalyptic number.

2448765144 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 2448765144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211251200).

2448765144 is an abundant number, since it is smaller than the sum of its proper divisors (5973737256).

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

2448765144 is a wasteful number, since it uses less digits than its factorization.

2448765144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 248 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 2448765144 is about 49484.9991815702. Note that the first 3 decimals coincide. The cubic root of 2448765144 is about 1347.8732207958.

The spelling of 2448765144 in words is "two billion, four hundred forty-eight million, seven hundred sixty-five thousand, one hundred forty-four".