2409889280 has 80 divisors (see below), whose sum is σ = 5901318720. Its totient is φ = 943398912.

The previous prime is 2409889271. The next prime is 2409889297. The reversal of 2409889280 is 829889042.

2409889280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110306 + ... + 130334.

It is an arithmetic number, because the mean of its divisors is an integer number (73766484).

Almost surely, 2^2409889280 is an apocalyptic number.

2409889280 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 2409889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950659360).

2409889280 is an abundant number, since it is smaller than the sum of its proper divisors (3491429440).

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

2409889280 is an equidigital number, since it uses as much as digits as its factorization.

2409889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20099 (or 20083 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The square root of 2409889280 is about 49090.6231372143. The cubic root of 2409889280 is about 1340.7023273063.

The spelling of 2409889280 in words is "two billion, four hundred nine million, eight hundred eighty-nine thousand, two hundred eighty".