2409261120 has 336 divisors, whose sum is σ = 9555406848. Its totient is φ = 545771520.

The previous prime is 2409261119. The next prime is 2409261137. The reversal of 2409261120 is 211629042.

2409261120 is a `hidden beast` number, since 2 + 40 + 9 + 2 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 2559850 + ... + 2560790.

Almost surely, 2^2409261120 is an apocalyptic number.

2409261120 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 2409261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777703424).

2409261120 is an abundant number, since it is smaller than the sum of its proper divisors (7146145728).

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

2409261120 is a wasteful number, since it uses less digits than its factorization.

2409261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2409261120 is about 49084.2247570439. The cubic root of 2409261120 is about 1340.5858283500.

The spelling of 2409261120 in words is "two billion, four hundred nine million, two hundred sixty-one thousand, one hundred twenty".