2009400 has 96 divisors (see below), whose sum is σ = 6629040. Its totient is φ = 501760.

The previous prime is 2009393. The next prime is 2009407. The reversal of 2009400 is 49002.

It is an interprime number because it is at equal distance from previous prime (2009393) and next prime (2009407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2009400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10102 + ... + 10298.

2^2009400 is an apocalyptic number.

2009400 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 2009400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314520).

2009400 is an abundant number, since it is smaller than the sum of its proper divisors (4619640).

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

2009400 is a wasteful number, since it uses less digits than its factorization.

2009400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2009400 is about 1417.5330683973. The cubic root of 2009400 is about 126.1891841850.

The spelling of 2009400 in words is "two million, nine thousand, four hundred".