2985735168 has 396 divisors, whose sum is σ = 9817543008. Its totient is φ = 905748480.

The previous prime is 2985735163. The next prime is 2985735197. The reversal of 2985735168 is 8615375892.

2985735168 is a `hidden beast` number, since 2 + 9 + 8 + 573 + 5 + 1 + 68 = 666.

It is a super-2 number, since 2×2985735168² = 17829228986863976448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985735163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42052573 + ... + 42052643.

Almost surely, 2^2985735168 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 2985735168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908771504).

2985735168 is an abundant number, since it is smaller than the sum of its proper divisors (6831807840).

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

2985735168 is an equidigital number, since it uses as much as digits as its factorization.

2985735168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 2985735168 is about 54641.8810803581. The cubic root of 2985735168 is about 1439.9599988888.

It can be divided in two parts, 29857 and 35168, that added together give a square (65025 = 255²).

The spelling of 2985735168 in words is "two billion, nine hundred eighty-five million, seven hundred thirty-five thousand, one hundred sixty-eight".