2005400 has 48 divisors (see below), whose sum is σ = 4806240. Its totient is φ = 777600.

The previous prime is 2005397. The next prime is 2005417. The reversal of 2005400 is 45002.

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 11 ways as a sum of consecutive naturals, for example, 7265 + ... + 7535.

It is an arithmetic number, because the mean of its divisors is an integer number (100130).

2^2005400 is an apocalyptic number.

2005400 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 2005400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403120).

2005400 is an abundant number, since it is smaller than the sum of its proper divisors (2800840).

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

2005400 is a wasteful number, since it uses less digits than its factorization.

2005400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 2005400 is about 1416.1214637170. The cubic root of 2005400 is about 126.1053959832.

The spelling of 2005400 in words is "two million, five thousand, four hundred".