2986242521328 has 320 divisors, whose sum is σ = 10131176563200. Its totient is φ = 831883530240.

The previous prime is 2986242521281. The next prime is 2986242521411. The reversal of 2986242521328 is 8231252426892.

2986242521328 is a `hidden beast` number, since 2 + 9 + 8 + 62 + 4 + 252 + 1 + 328 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3043878 + ... + 3903546.

It is an arithmetic number, because the mean of its divisors is an integer number (31659926760).

Almost surely, 2^{2986242521328} 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 2986242521328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065588281600).

2986242521328 is an abundant number, since it is smaller than the sum of its proper divisors (7144934041872).

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

2986242521328 is a wasteful number, since it uses less digits than its factorization.

2986242521328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859757 (or 859745 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 2986242521328 in words is "two trillion, nine hundred eighty-six billion, two hundred forty-two million, five hundred twenty-one thousand, three hundred twenty-eight".