2825321472 has 220 divisors, whose sum is σ = 8809731216. Its totient is φ = 900218880.

The previous prime is 2825321453. The next prime is 2825321483. The reversal of 2825321472 is 2741235282.

2825321472 is a `hidden beast` number, since 2 + 82 + 532 + 1 + 47 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (53760) is a multiple of the sum of its prime factors (1536).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1906972 + ... + 1908452.

Almost surely, 2^2825321472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2825321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404865608).

2825321472 is an abundant number, since it is smaller than the sum of its proper divisors (5984409744).

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

2825321472 is a wasteful number, since it uses less digits than its factorization.

2825321472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1509 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2825321472 is about 53153.7531318344. The cubic root of 2825321472 is about 1413.6957640192.

The spelling of 2825321472 in words is "two billion, eight hundred twenty-five million, three hundred twenty-one thousand, four hundred seventy-two".