2985060335616 has 864 divisors, whose sum is σ = 9790097335200. Its totient is φ = 905063694336.

The previous prime is 2985060335591. The next prime is 2985060335639. The reversal of 2985060335616 is 6165330605892.

It is a happy number.

2985060335616 is a `hidden beast` number, since 2 + 98 + 506 + 0 + 3 + 35 + 6 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20033961910 + ... + 20033962058.

It is an arithmetic number, because the mean of its divisors is an integer number (11331131175).

Almost surely, 2^{2985060335616} 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 2985060335616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895048667600).

2985060335616 is an abundant number, since it is smaller than the sum of its proper divisors (6805036999584).

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

2985060335616 is an frugal number, since it uses more digits than its factorization.

2985060335616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 2985060335616 in words is "two trillion, nine hundred eighty-five billion, sixty million, three hundred thirty-five thousand, six hundred sixteen".