2009409200 has 60 divisors (see below), whose sum is σ = 4834029888. Its totient is φ = 802694400.

The previous prime is 2009409179. The next prime is 2009409203. The reversal of 2009409200 is 29049002.

It is a self number, because there is not a number n which added to its sum of digits gives 2009409200.

It is not an unprimeable number, because it can be changed into a prime (2009409203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342290 + ... + 348110.

Almost surely, 2^2009409200 is an apocalyptic number.

2009409200 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 2009409200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417014944).

2009409200 is an abundant number, since it is smaller than the sum of its proper divisors (2824620688).

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

2009409200 is a wasteful number, since it uses less digits than its factorization.

2009409200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2009409200 is about 44826.4341655680. The cubic root of 2009409200 is about 1261.8937676959.

The spelling of 2009409200 in words is "two billion, nine million, four hundred nine thousand, two hundred".