2580246144 has 128 divisors (see below), whose sum is σ = 8703292800. Its totient is φ = 737206272.

The previous prime is 2580246133. The next prime is 2580246169. The reversal of 2580246144 is 4416420852.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 2580246099 and 2580246108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29137 + ... + 77520.

It is an arithmetic number, because the mean of its divisors is an integer number (67994475).

Almost surely, 2^2580246144 is an apocalyptic number.

2580246144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2580246144 is an abundant number, since it is smaller than the sum of its proper divisors (6123046656).

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

2580246144 is a wasteful number, since it uses less digits than its factorization.

2580246144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106687 (or 106669 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2580246144 is about 50796.1233166469. The cubic root of 2580246144 is about 1371.5775855938.

Adding to 2580246144 its reverse (4416420852), we get a palindrome (6996666996).

The spelling of 2580246144 in words is "two billion, five hundred eighty million, two hundred forty-six thousand, one hundred forty-four".