2641448448 has 160 divisors (see below), whose sum is σ = 7895104800. Its totient is φ = 871907328.

The previous prime is 2641448417. The next prime is 2641448461. The reversal of 2641448448 is 8448441462.

2641448448 is a `hidden beast` number, since 2 + 64 + 144 + 8 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1505940 + ... + 1507692.

It is an arithmetic number, because the mean of its divisors is an integer number (49344405).

Almost surely, 2^2641448448 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 2641448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947552400).

2641448448 is an abundant number, since it is smaller than the sum of its proper divisors (5253656352).

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

2641448448 is a wasteful number, since it uses less digits than its factorization.

2641448448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1867 counting only the distinct ones).

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

The square root of 2641448448 is about 51395.0235723265. The cubic root of 2641448448 is about 1382.3373621310.

The spelling of 2641448448 in words is "two billion, six hundred forty-one million, four hundred forty-eight thousand, four hundred forty-eight".