2904248448 has 192 divisors, whose sum is σ = 9067214520. Its totient is φ = 888668160.

The previous prime is 2904248441. The next prime is 2904248467. The reversal of 2904248448 is 8448424092.

2904248448 is a `hidden beast` number, since 2 + 90 + 42 + 484 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1166359104 + 1737889344 = 34152^2 + 41688^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2904248441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 801136 + ... + 804752.

Almost surely, 2^2904248448 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 2904248448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533607260).

2904248448 is an abundant number, since it is smaller than the sum of its proper divisors (6162966072).

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

2904248448 is a wasteful number, since it uses less digits than its factorization.

2904248448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 2904248448 is about 53891.0794844564. The cubic root of 2904248448 is about 1426.7391832396.

The spelling of 2904248448 in words is "two billion, nine hundred four million, two hundred forty-eight thousand, four hundred forty-eight".