2085405840 has 480 divisors, whose sum is σ = 8415104256. Its totient is φ = 452874240.

The previous prime is 2085405821. The next prime is 2085405853. The reversal of 2085405840 is 485045802.

2085405840 is a `hidden beast` number, since 20 + 8 + 54 + 0 + 584 + 0 = 666.

It is a super-2 number, since 2×2085405840² = 8697835035012211200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2085405795 and 2085405804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9883335 + ... + 9883545.

Almost surely, 2^2085405840 is an apocalyptic number.

2085405840 is a gapful number since it is divisible by the number (20) 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 2085405840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207552128).

2085405840 is an abundant number, since it is smaller than the sum of its proper divisors (6329698416).

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

2085405840 is a wasteful number, since it uses less digits than its factorization.

2085405840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 2085405840 is about 45666.2439883115. The cubic root of 2085405840 is about 1277.6057620041.

The spelling of 2085405840 in words is "two billion, eighty-five million, four hundred five thousand, eight hundred forty".