2985196032000 has 3120 divisors, whose sum is σ = 14065482583152. Its totient is φ = 624269721600.

The previous prime is 2985196031971. The next prime is 2985196032001. The reversal of 2985196032000 is 2306915892.

2985196032000 is a `hidden beast` number, since 2 + 9 + 8 + 5 + 19 + 603 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2434798227456 + 550397804544 = 1560384^2 + 741888^2 .

It is a tau number, because it is divible by the number of its divisors (3120).

It is a super-2 number, since 2×2985196032000² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2985196032001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 26417663944 + ... + 26417664056.

Almost surely, 2^{2985196032000} is an apocalyptic number.

2985196032000 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 2985196032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032741291576).

2985196032000 is an abundant number, since it is smaller than the sum of its proper divisors (11080286551152).

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

2985196032000 is a wasteful number, since it uses less digits than its factorization.

2985196032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 143 counting only the distinct ones).

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

The spelling of 2985196032000 in words is "two trillion, nine hundred eighty-five billion, one hundred ninety-six million, thirty-two thousand".