2084730237216 has 480 divisors, whose sum is σ = 7048079438400. Its totient is φ = 597846251520.

The previous prime is 2084730237203. The next prime is 2084730237217. The reversal of 2084730237216 is 6127320374802.

2084730237216 is a `hidden beast` number, since 20 + 84 + 7 + 302 + 37 + 216 = 666.

It is a super-2 number, since 2×2084730237216² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2084730237217) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 774127966 + ... + 774130658.

It is an arithmetic number, because the mean of its divisors is an integer number (14683498830).

Almost surely, 2^{2084730237216} 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 2084730237216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524039719200).

2084730237216 is an abundant number, since it is smaller than the sum of its proper divisors (4963349201184).

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

2084730237216 is a wasteful number, since it uses less digits than its factorization.

2084730237216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2084730237216 in words is "two trillion, eighty-four billion, seven hundred thirty million, two hundred thirty-seven thousand, two hundred sixteen".