2085930 has 144 divisors (see below), whose sum is σ = 7042464. Its totient is φ = 423360.

The previous prime is 2085929. The next prime is 2085931. The reversal of 2085930 is 395802.

It is an interprime number because it is at equal distance from previous prime (2085929) and next prime (2085931).

It is a super-2 number, since 2×2085930² = 8702207929800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2085894 and 2085903.

It is not an unprimeable number, because it can be changed into a prime (2085931) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48489 + ... + 48531.

It is an arithmetic number, because the mean of its divisors is an integer number (48906).

2^2085930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521232).

2085930 is an abundant number, since it is smaller than the sum of its proper divisors (4956534).

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

2085930 is a wasteful number, since it uses less digits than its factorization.

2085930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2085930 is about 1444.2749045801. The cubic root of 2085930 is about 127.7712793727.

Subtracting from 2085930 its sum of digits (27), we obtain a triangular number (2085903 = T₂₀₄₂).

The spelling of 2085930 in words is "two million, eighty-five thousand, nine hundred thirty".