2985196032 has 600 divisors, whose sum is σ = 11260787076. Its totient is φ = 780337152.

The previous prime is 2985196003. The next prime is 2985196033. The reversal of 2985196032 is 2306915892.

2985196032 is a `hidden beast` number, since 29 + 8 + 5 + 19 + 603 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2244485376 + 740710656 = 47376^2 + 27216^2 .

It is a super-2 number, since 2×2985196032² = 17822790698937090048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2985196033) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26417608 + ... + 26417720.

Almost surely, 2^2985196032 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 2985196032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630393538).

2985196032 is an abundant number, since it is smaller than the sum of its proper divisors (8275591044).

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

2985196032 is a wasteful number, since it uses less digits than its factorization.

2985196032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2985196032 is about 54636.9474989224. The cubic root of 2985196032 is about 1439.8733221897.

The spelling of 2985196032 in words is "two billion, nine hundred eighty-five million, one hundred ninety-six thousand, thirty-two".