2409208341120 has 512 divisors, whose sum is σ = 9916867584000. Its totient is φ = 541341093888.

The previous prime is 2409208341119. The next prime is 2409208341139. The reversal of 2409208341120 is 211438029042.

2409208341120 is a `hidden beast` number, since 2 + 409 + 208 + 3 + 41 + 1 + 2 + 0 = 666.

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

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, 6967849 + ... + 7305431.

It is an arithmetic number, because the mean of its divisors is an integer number (19368882000).

Almost surely, 2^{2409208341120} is an apocalyptic number.

2409208341120 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 2409208341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958433792000).

2409208341120 is an abundant number, since it is smaller than the sum of its proper divisors (7507659242880).

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

2409208341120 is a wasteful number, since it uses less digits than its factorization.

2409208341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337677 (or 337659 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2409208341120 in words is "two trillion, four hundred nine billion, two hundred eight million, three hundred forty-one thousand, one hundred twenty".