2148464448 has 168 divisors, whose sum is σ = 6656832000. Its totient is φ = 658584576.

The previous prime is 2148464419. The next prime is 2148464453. The reversal of 2148464448 is 8444648412.

2148464448 is a `hidden beast` number, since 2 + 148 + 4 + 64 + 448 = 666.

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 23 ways as a sum of consecutive naturals, for example, 3586453 + ... + 3587051.

It is an arithmetic number, because the mean of its divisors is an integer number (39624000).

Almost surely, 2^2148464448 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 2148464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328416000).

2148464448 is an abundant number, since it is smaller than the sum of its proper divisors (4508367552).

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

2148464448 is a wasteful number, since it uses less digits than its factorization.

2148464448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1096 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The square root of 2148464448 is about 46351.5312368427. The cubic root of 2148464448 is about 1290.3555392816.

The spelling of 2148464448 in words is "two billion, one hundred forty-eight million, four hundred sixty-four thousand, four hundred forty-eight".