2084316624 has 200 divisors, whose sum is σ = 6540513672. Its totient is φ = 637009920.

The previous prime is 2084316593. The next prime is 2084316673. The reversal of 2084316624 is 4266134802.

2084316624 is a `hidden beast` number, since 20 + 8 + 4 + 3 + 1 + 6 + 624 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 177422400 + 1906894224 = 13320^2 + 43668^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3251344 + ... + 3251984.

Almost surely, 2^2084316624 is an apocalyptic number.

2084316624 is a gapful number since it is divisible by the number (24) 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 2084316624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270256836).

2084316624 is an abundant number, since it is smaller than the sum of its proper divisors (4456197048).

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

2084316624 is a wasteful number, since it uses less digits than its factorization.

2084316624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2084316624 is about 45654.3165976669. The cubic root of 2084316624 is about 1277.3832903619.

The spelling of 2084316624 in words is "two billion, eighty-four million, three hundred sixteen thousand, six hundred twenty-four".