2485831680 has 432 divisors, whose sum is σ = 9188148060. Its totient is φ = 644972544.

The previous prime is 2485831661. The next prime is 2485831727. The reversal of 2485831680 is 861385842.

2485831680 is a `hidden beast` number, since 2 + 4 + 8 + 583 + 1 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2425365504 + 60466176 = 49248^2 + 7776^2 .

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67184622 + ... + 67184658.

Almost surely, 2^2485831680 is an apocalyptic number.

2485831680 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 2485831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594074030).

2485831680 is an abundant number, since it is smaller than the sum of its proper divisors (6702316380).

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

2485831680 is an frugal number, since it uses more digits than its factorization.

2485831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2485831680 is about 49858.1154878521. The cubic root of 2485831680 is about 1354.6400336454.

The spelling of 2485831680 in words is "two billion, four hundred eighty-five million, eight hundred thirty-one thousand, six hundred eighty".