2085129936 has 120 divisors (see below), whose sum is σ = 6061945344. Its totient is φ = 668355840.

The previous prime is 2085129923. The next prime is 2085129953. The reversal of 2085129936 is 6399215802.

It is a junction number, because it is equal to n+sod(n) for n = 2085129891 and 2085129900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744090 + ... + 746886.

Almost surely, 2^2085129936 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 2085129936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030972672).

2085129936 is an abundant number, since it is smaller than the sum of its proper divisors (3976815408).

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

2085129936 is a wasteful number, since it uses less digits than its factorization.

2085129936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2085129936 is about 45663.2230137120. The cubic root of 2085129936 is about 1277.5494161233.

The spelling of 2085129936 in words is "two billion, eighty-five million, one hundred twenty-nine thousand, nine hundred thirty-six".