2480454144 has 160 divisors (see below), whose sum is σ = 8391546240. Its totient is φ = 708673536.

The previous prime is 2480454131. The next prime is 2480454167. The reversal of 2480454144 is 4414540842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2480454099 and 2480454108.

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, 83952 + ... + 109584.

It is an arithmetic number, because the mean of its divisors is an integer number (52447164).

Almost surely, 2^2480454144 is an apocalyptic number.

2480454144 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 2480454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195773120).

2480454144 is an abundant number, since it is smaller than the sum of its proper divisors (5911092096).

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

2480454144 is an equidigital number, since it uses as much as digits as its factorization.

2480454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25667 (or 25645 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The square root of 2480454144 is about 49804.1578987136. The cubic root of 2480454144 is about 1353.6625090594.

Adding to 2480454144 its reverse (4414540842), we get a palindrome (6894994986).

The spelling of 2480454144 in words is "two billion, four hundred eighty million, four hundred fifty-four thousand, one hundred forty-four".