2825256960 has 216 divisors, whose sum is σ = 9814633920. Its totient is φ = 751828992.

The previous prime is 2825256953. The next prime is 2825256971. The reversal of 2825256960 is 696525282.

2825256960 is a `hidden beast` number, since 2 + 8 + 2 + 525 + 69 + 60 = 666.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5898001 + ... + 5898479.

It is an arithmetic number, because the mean of its divisors is an integer number (45438120).

Almost surely, 2^2825256960 is an apocalyptic number.

2825256960 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 2825256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907316960).

2825256960 is an abundant number, since it is smaller than the sum of its proper divisors (6989376960).

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

2825256960 is an frugal number, since it uses more digits than its factorization.

2825256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2825256960 is about 53153.1462850507. The cubic root of 2825256960 is about 1413.6850040595.

The spelling of 2825256960 in words is "two billion, eight hundred twenty-five million, two hundred fifty-six thousand, nine hundred sixty".