2409189120 has 216 divisors, whose sum is σ = 8977297056. Its totient is φ = 592994304.

The previous prime is 2409189077. The next prime is 2409189157. The reversal of 2409189120 is 219819042.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141717 + ... + 157803.

Almost surely, 2^2409189120 is an apocalyptic number.

2409189120 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 2409189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488648528).

2409189120 is an abundant number, since it is smaller than the sum of its proper divisors (6568107936).

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

2409189120 is a wasteful number, since it uses less digits than its factorization.

2409189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16127 (or 16110 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2409189120 is about 49083.4913183649. The cubic root of 2409189120 is about 1340.5724738903.

The spelling of 2409189120 in words is "two billion, four hundred nine million, one hundred eighty-nine thousand, one hundred twenty".