2409345345120 has 384 divisors, whose sum is σ = 9295384283136. Its totient is φ = 512526237696.

The previous prime is 2409345345109. The next prime is 2409345345137. The reversal of 2409345345120 is 215435439042.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2438052 + ... + 3280668.

It is an arithmetic number, because the mean of its divisors is an integer number (24206729904).

Almost surely, 2^{2409345345120} is an apocalyptic number.

2409345345120 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 2409345345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647692141568).

2409345345120 is an abundant number, since it is smaller than the sum of its proper divisors (6886038938016).

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

2409345345120 is a wasteful number, since it uses less digits than its factorization.

2409345345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842702 (or 842694 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 2409345345120 in words is "two trillion, four hundred nine billion, three hundred forty-five million, three hundred forty-five thousand, one hundred twenty".