2005146 has 96 divisors (see below), whose sum is σ = 5503680. Its totient is φ = 518400.

The previous prime is 2005139. The next prime is 2005151. The reversal of 2005146 is 6415002.

It is a happy number.

It is a super-2 number, since 2×2005146² = 8041220962632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 48886 + ... + 48926.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

2^2005146 is an apocalyptic number.

2005146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751840).

2005146 is an abundant number, since it is smaller than the sum of its proper divisors (3498534).

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

2005146 is a wasteful number, since it uses less digits than its factorization.

2005146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2005146 is about 1416.0317793044. The cubic root of 2005146 is about 126.1000716717.

The spelling of 2005146 in words is "two million, five thousand, one hundred forty-six".