2409840480 has 96 divisors (see below), whose sum is σ = 7597999584. Its totient is φ = 642031616.

The previous prime is 2409840469. The next prime is 2409840481. The reversal of 2409840480 is 840489042.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2409840480² = 11614662278093260800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409840481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 830392 + ... + 833288.

It is an arithmetic number, because the mean of its divisors is an integer number (79145829).

Almost surely, 2^2409840480 is an apocalyptic number.

2409840480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2409840480 is an abundant number, since it is smaller than the sum of its proper divisors (5188159104).

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

2409840480 is a wasteful number, since it uses less digits than its factorization.

2409840480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 2409840480 is about 49090.1260947657. The cubic root of 2409840480 is about 1340.6932775524.

The spelling of 2409840480 in words is "two billion, four hundred nine million, eight hundred forty thousand, four hundred eighty".