2582045144 has 32 divisors (see below), whose sum is σ = 5545843200. Its totient is φ = 1104012960.

The previous prime is 2582045093. The next prime is 2582045161. The reversal of 2582045144 is 4415402852.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29354 + ... + 77625.

It is an arithmetic number, because the mean of its divisors is an integer number (173307600).

Almost surely, 2^2582045144 is an apocalyptic number.

It is an amenable number.

2582045144 is an abundant number, since it is smaller than the sum of its proper divisors (2963798056).

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

2582045144 is a wasteful number, since it uses less digits than its factorization.

2582045144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107423 (or 107419 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

The square root of 2582045144 is about 50813.8282753819. The cubic root of 2582045144 is about 1371.8962754532.

Adding to 2582045144 its reverse (4415402852), we get a palindrome (6997447996).

It can be divided in two parts, 258 and 2045144, that added together give a palindrome (2045402).

The spelling of 2582045144 in words is "two billion, five hundred eighty-two million, forty-five thousand, one hundred forty-four".