2082721536 has 432 divisors, whose sum is σ = 7314740160. Its totient is φ = 557383680.

The previous prime is 2082721523. The next prime is 2082721541. The reversal of 2082721536 is 6351272802.

2082721536 is a `hidden beast` number, since 20 + 82 + 7 + 21 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2082721536.

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, 28530396 + ... + 28530468.

Almost surely, 2^2082721536 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 2082721536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657370080).

2082721536 is an abundant number, since it is smaller than the sum of its proper divisors (5232018624).

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

2082721536 is a wasteful number, since it uses less digits than its factorization.

2082721536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2082721536 is about 45636.8440626650. The cubic root of 2082721536 is about 1277.0573547981.

The spelling of 2082721536 in words is "two billion, eighty-two million, seven hundred twenty-one thousand, five hundred thirty-six".