2409944680 has 256 divisors, whose sum is σ = 6687878400. Its totient is φ = 769720320.

The previous prime is 2409944671. The next prime is 2409944687. The reversal of 2409944680 is 864499042.

2409944680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2409944680.

It is not an unprimeable number, because it can be changed into a prime (2409944687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12486664 + ... + 12486856.

It is an arithmetic number, because the mean of its divisors is an integer number (26124525).

Almost surely, 2^2409944680 is an apocalyptic number.

2409944680 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 2409944680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343939200).

2409944680 is an abundant number, since it is smaller than the sum of its proper divisors (4277933720).

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

2409944680 is a wasteful number, since it uses less digits than its factorization.

2409944680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 2409944680 is about 49091.1873965175. The cubic root of 2409944680 is about 1340.7126008544.

The spelling of 2409944680 in words is "two billion, four hundred nine million, nine hundred forty-four thousand, six hundred eighty".