2825889480 has 192 divisors, whose sum is σ = 9807557760. Its totient is φ = 703954944.

The previous prime is 2825889383. The next prime is 2825889491. The reversal of 2825889480 is 849885282.

It is a happy number.

2825889480 is a `hidden beast` number, since 2 + 82 + 5 + 8 + 89 + 480 = 666.

2825889480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352072 + ... + 360008.

It is an arithmetic number, because the mean of its divisors is an integer number (51081030).

Almost surely, 2^2825889480 is an apocalyptic number.

2825889480 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 2825889480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903778880).

2825889480 is an abundant number, since it is smaller than the sum of its proper divisors (6981668280).

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

2825889480 is a wasteful number, since it uses less digits than its factorization.

2825889480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8020 (or 8013 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 2825889480 is about 53159.0959291070. The cubic root of 2825889480 is about 1413.7904950325.

The spelling of 2825889480 in words is "two billion, eight hundred twenty-five million, eight hundred eighty-nine thousand, four hundred eighty".