2585077920 has 144 divisors (see below), whose sum is σ = 8971391520. Its totient is φ = 677647872.

The previous prime is 2585077897. The next prime is 2585077961. The reversal of 2585077920 is 297705852.

It is a happy number.

2585077920 is a `hidden beast` number, since 2 + 58 + 507 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 69747 + ... + 100173.

It is an arithmetic number, because the mean of its divisors is an integer number (62301330).

Almost surely, 2^2585077920 is an apocalyptic number.

2585077920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485695760).

2585077920 is an abundant number, since it is smaller than the sum of its proper divisors (6386313600).

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

2585077920 is a wasteful number, since it uses less digits than its factorization.

2585077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30507 (or 30496 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 2585077920 is about 50843.6615518591. The cubic root of 2585077920 is about 1372.4331917275.

The spelling of 2585077920 in words is "two billion, five hundred eighty-five million, seventy-seven thousand, nine hundred twenty".