2409813120 has 512 divisors, whose sum is σ = 9228764160. Its totient is φ = 527155200.

The previous prime is 2409813103. The next prime is 2409813167. The reversal of 2409813120 is 213189042.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18395455 + ... + 18395585.

It is an arithmetic number, because the mean of its divisors is an integer number (18024930).

Almost surely, 2^2409813120 is an apocalyptic number.

2409813120 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 2409813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614382080).

2409813120 is an abundant number, since it is smaller than the sum of its proper divisors (6818951040).

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

2409813120 is a wasteful number, since it uses less digits than its factorization.

2409813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2409813120 is about 49089.8474228633. The cubic root of 2409813120 is about 1340.6882037024.

The spelling of 2409813120 in words is "two billion, four hundred nine million, eight hundred thirteen thousand, one hundred twenty".