2985130368000 has 2816 divisors, whose sum is σ = 13243336704000. Its totient is φ = 654704640000.

The previous prime is 2985130367993. The next prime is 2985130368029. The reversal of 2985130368000 is 8630315892.

It is a happy number.

2985130368000 is a `hidden beast` number, since 29 + 8 + 513 + 0 + 36 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×2985130368000² (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 a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 20034431926 + ... + 20034432074.

Almost surely, 2^{2985130368000} is an apocalyptic number.

2985130368000 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 2985130368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621668352000).

2985130368000 is an abundant number, since it is smaller than the sum of its proper divisors (10258206336000).

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

2985130368000 is a wasteful number, since it uses less digits than its factorization.

2985130368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2985130368000 in words is "two trillion, nine hundred eighty-five billion, one hundred thirty million, three hundred sixty-eight thousand".