2484400448 has 42 divisors (see below), whose sum is σ = 5037393786. Its totient is φ = 1215701248.

The previous prime is 2484400447. The next prime is 2484400469. The reversal of 2484400448 is 8440044842.

It can be written as a sum of positive squares in only one way, i.e., 2280253504 + 204146944 = 47752^2 + 14288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2484400447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132590 + ... + 150162.

Almost surely, 2^2484400448 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 2484400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518696893).

2484400448 is an abundant number, since it is smaller than the sum of its proper divisors (2552993338).

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

2484400448 is an equidigital number, since it uses as much as digits as its factorization.

2484400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17679 (or 17622 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 38.

The square root of 2484400448 is about 49843.7603717858. The cubic root of 2484400448 is about 1354.3800031169.

The spelling of 2484400448 in words is "two billion, four hundred eighty-four million, four hundred thousand, four hundred forty-eight".