2068400 has 30 divisors (see below), whose sum is σ = 4970292. Its totient is φ = 827200.

The previous prime is 2068399. The next prime is 2068403. The reversal of 2068400 is 48602.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2068403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2186 + ... + 2985.

2^2068400 is an apocalyptic number.

2068400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2068400 is an abundant number, since it is smaller than the sum of its proper divisors (2901892).

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

2068400 is a wasteful number, since it uses less digits than its factorization.

2068400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2068400 is about 1438.1933110677. The cubic root of 2068400 is about 127.4123452373.

The spelling of 2068400 in words is "two million, sixty-eight thousand, four hundred".