2985176064000 has 896 divisors, whose sum is σ = 11330101141632. Its totient is φ = 691431014400.

The previous prime is 2985176063971. The next prime is 2985176064007. The reversal of 2985176064000 is 4606715892.

It is a super-2 number, since 2×2985176064000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985176064007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 678909802 + ... + 678914198.

It is an arithmetic number, because the mean of its divisors is an integer number (12645202167).

Almost surely, 2^{2985176064000} is an apocalyptic number.

2985176064000 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 2985176064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665050570816).

2985176064000 is an abundant number, since it is smaller than the sum of its proper divisors (8344925077632).

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

2985176064000 is a wasteful number, since it uses less digits than its factorization.

2985176064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 2985176064000 in words is "two trillion, nine hundred eighty-five billion, one hundred seventy-six million, sixty-four thousand".