2085284420 has 48 divisors (see below), whose sum is σ = 4632163200. Its totient is φ = 786905856.

The previous prime is 2085284419. The next prime is 2085284431. The reversal of 2085284420 is 244825802.

It is a super-2 number, since 2×2085284420² = 8696822224589472800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2531 + ... + 64629.

It is an arithmetic number, because the mean of its divisors is an integer number (96503400).

Almost surely, 2^2085284420 is an apocalyptic number.

2085284420 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 2085284420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316081600).

2085284420 is an abundant number, since it is smaller than the sum of its proper divisors (2546878780).

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

2085284420 is a wasteful number, since it uses less digits than its factorization.

2085284420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62204 (or 62202 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 2085284420 is about 45664.9145405967. The cubic root of 2085284420 is about 1277.5809658869.

The spelling of 2085284420 in words is "two billion, eighty-five million, two hundred eighty-four thousand, four hundred twenty".