2852156160 has 432 divisors, whose sum is σ = 11414055744. Its totient is φ = 644087808.

The previous prime is 2852156149. The next prime is 2852156161. The reversal of 2852156160 is 616512582.

2852156160 is a `hidden beast` number, since 28 + 5 + 2 + 15 + 616 + 0 = 666.

It is a super-2 number, since 2×2852156160² = 16269589522051891200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2852156161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9112164 + ... + 9112476.

Almost surely, 2^2852156160 is an apocalyptic number.

2852156160 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 2852156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707027872).

2852156160 is an abundant number, since it is smaller than the sum of its proper divisors (8561899584).

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

2852156160 is a wasteful number, since it uses less digits than its factorization.

2852156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2852156160 is about 53405.5817307517. The cubic root of 2852156160 is about 1418.1573931601.

It can be divided in two parts, 28521 and 56160, that added together give a square (84681 = 291²).

The spelling of 2852156160 in words is "two billion, eight hundred fifty-two million, one hundred fifty-six thousand, one hundred sixty".