2009249180 has 48 divisors (see below), whose sum is σ = 4436619264. Its totient is φ = 762864960.

The previous prime is 2009249149. The next prime is 2009249213. The reversal of 2009249180 is 819429002.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2009249180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43589 + ... + 76931.

It is an arithmetic number, because the mean of its divisors is an integer number (92429568).

Almost surely, 2^2009249180 is an apocalyptic number.

2009249180 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 2009249180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218309632).

2009249180 is an abundant number, since it is smaller than the sum of its proper divisors (2427370084).

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

2009249180 is a wasteful number, since it uses less digits than its factorization.

2009249180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33506 (or 33504 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 2009249180 is about 44824.6492456996. The cubic root of 2009249180 is about 1261.8602696905.

The spelling of 2009249180 in words is "two billion, nine million, two hundred forty-nine thousand, one hundred eighty".