2409359680 has 448 divisors, whose sum is σ = 7766986752. Its totient is φ = 690094080.

The previous prime is 2409359627. The next prime is 2409359699. The reversal of 2409359680 is 869539042.

2409359680 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 (448).

It is a self number, because there is not a number n which added to its sum of digits gives 2409359680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15346162 + ... + 15346318.

It is an arithmetic number, because the mean of its divisors is an integer number (17337024).

Almost surely, 2^2409359680 is an apocalyptic number.

2409359680 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 2409359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883493376).

2409359680 is an abundant number, since it is smaller than the sum of its proper divisors (5357627072).

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

2409359680 is a wasteful number, since it uses less digits than its factorization.

2409359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 2409359680 is about 49085.2287353334. The cubic root of 2409359680 is about 1340.6041086900.

The spelling of 2409359680 in words is "two billion, four hundred nine million, three hundred fifty-nine thousand, six hundred eighty".