2580369408 has 78 divisors (see below), whose sum is σ = 7453597034. Its totient is φ = 860110848.

The previous prime is 2580369397. The next prime is 2580369427. The reversal of 2580369408 is 8049630852.

2580369408 is a `hidden beast` number, since 2 + 580 + 3 + 69 + 4 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2472873984 + 107495424 = 49728^2 + 10368^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 1866 + ... + 71862.

Almost surely, 2^2580369408 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 2580369408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726798517).

2580369408 is an abundant number, since it is smaller than the sum of its proper divisors (4873227626).

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

2580369408 is an equidigital number, since it uses as much as digits as its factorization.

2580369408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70027 (or 70002 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2580369408 is about 50797.3366230947. The cubic root of 2580369408 is about 1371.5994263328.

The spelling of 2580369408 in words is "two billion, five hundred eighty million, three hundred sixty-nine thousand, four hundred eight".