2585778480 has 60 divisors (see below), whose sum is σ = 8683908480. Its totient is φ = 689540736.

The previous prime is 2585778451. The next prime is 2585778487. The reversal of 2585778480 is 848775852.

2585778480 is a `hidden beast` number, since 25 + 8 + 577 + 8 + 48 + 0 = 666.

2585778480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2585778480² = 13372500695262220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2585778487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1794960 + ... + 1796399.

It is an arithmetic number, because the mean of its divisors is an integer number (144731808).

Almost surely, 2^2585778480 is an apocalyptic number.

2585778480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585778480 is an abundant number, since it is smaller than the sum of its proper divisors (6098130000).

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

2585778480 is a wasteful number, since it uses less digits than its factorization.

2585778480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591378 (or 3591369 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The square root of 2585778480 is about 50850.5504394987. The cubic root of 2585778480 is about 1372.5571576821.

The spelling of 2585778480 in words is "two billion, five hundred eighty-five million, seven hundred seventy-eight thousand, four hundred eighty".