2825564256 has 96 divisors (see below), whose sum is σ = 8250439680. Its totient is φ = 940802688.

The previous prime is 2825564251. The next prime is 2825564263. The reversal of 2825564256 is 6524655282.

It is a happy number.

2825564256 is a `hidden beast` number, since 2 + 8 + 2 + 556 + 42 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2825564256³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825564251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1352845 + ... + 1354931.

It is an arithmetic number, because the mean of its divisors is an integer number (85942080).

Almost surely, 2^2825564256 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 2825564256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125219840).

2825564256 is an abundant number, since it is smaller than the sum of its proper divisors (5424875424).

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

2825564256 is a wasteful number, since it uses less digits than its factorization.

2825564256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3659 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 2825564256 is about 53156.0368725886. The cubic root of 2825564256 is about 1413.7362565065.

The spelling of 2825564256 in words is "two billion, eight hundred twenty-five million, five hundred sixty-four thousand, two hundred fifty-six".