2009141200 has 60 divisors (see below), whose sum is σ = 5265787968. Its totient is φ = 730595200.

The previous prime is 2009141137. The next prime is 2009141207. The reversal of 2009141200 is 21419002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009141207) 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, 223912 + ... + 232711.

Almost surely, 2^2009141200 is an apocalyptic number.

2009141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2009141200 is an abundant number, since it is smaller than the sum of its proper divisors (3256646768).

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

2009141200 is a wasteful number, since it uses less digits than its factorization.

2009141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456652 (or 456641 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2009141200 is about 44823.4447582959. Note that the first 3 decimals coincide. The cubic root of 2009141200 is about 1261.8376645445.

The spelling of 2009141200 in words is "two billion, nine million, one hundred forty-one thousand, two hundred".