2085692928 has 320 divisors, whose sum is σ = 6540652800. Its totient is φ = 583925760.

The previous prime is 2085692879. The next prime is 2085692953. The reversal of 2085692928 is 8292965802.

It is a super-2 number, since 2×2085692928² = 8700229979818426368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23434708 + ... + 23434796.

It is an arithmetic number, because the mean of its divisors is an integer number (20439540).

Almost surely, 2^2085692928 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 2085692928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270326400).

2085692928 is an abundant number, since it is smaller than the sum of its proper divisors (4454959872).

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

2085692928 is a wasteful number, since it uses less digits than its factorization.

2085692928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 2085692928 is about 45669.3872085011. The cubic root of 2085692928 is about 1277.6643866366.

The spelling of 2085692928 in words is "two billion, eighty-five million, six hundred ninety-two thousand, nine hundred twenty-eight".