2580808400144 has 80 divisors (see below), whose sum is σ = 5779824411312. Its totient is φ = 1105717837824.

The previous prime is 2580808400143. The next prime is 2580808400153. The reversal of 2580808400144 is 4410048080852.

It can be written as a sum of positive squares in 8 ways, for example, as 86341945600 + 2494466454544 = 293840^2 + 1579388^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2580808400095 and 2580808400104.

It is not an unprimeable number, because it can be changed into a prime (2580808400143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4740959 + ... + 5257214.

Almost surely, 2^{2580808400144} is an apocalyptic number.

It is an amenable number.

2580808400144 is an abundant number, since it is smaller than the sum of its proper divisors (3199016011168).

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

2580808400144 is a wasteful number, since it uses less digits than its factorization.

2580808400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9998284 (or 9998278 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 44.

The spelling of 2580808400144 in words is "two trillion, five hundred eighty billion, eight hundred eight million, four hundred thousand, one hundred forty-four".