2852836560 has 240 divisors, whose sum is σ = 11038150656. Its totient is φ = 646797312.

The previous prime is 2852836559. The next prime is 2852836561. The reversal of 2852836560 is 656382582.

2852836560 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 83 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2852836559) and next prime (2852836561).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852836561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 637852 + ... + 642308.

Almost surely, 2^2852836560 is an apocalyptic number.

2852836560 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 2852836560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519075328).

2852836560 is an abundant number, since it is smaller than the sum of its proper divisors (8185314096).

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

2852836560 is a wasteful number, since it uses less digits than its factorization.

2852836560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2852836560 is about 53411.9514715574. The cubic root of 2852836560 is about 1418.2701543505.

The spelling of 2852836560 in words is "two billion, eight hundred fifty-two million, eight hundred thirty-six thousand, five hundred sixty".