2409684480 has 480 divisors, whose sum is σ = 9723377664. Its totient is φ = 540131328.

The previous prime is 2409684457. The next prime is 2409684491. The reversal of 2409684480 is 844869042.

2409684480 is a `hidden beast` number, since 2 + 4 + 0 + 96 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10805649 + ... + 10805871.

Almost surely, 2^2409684480 is an apocalyptic number.

2409684480 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 2409684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861688832).

2409684480 is an abundant number, since it is smaller than the sum of its proper divisors (7313693184).

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

2409684480 is a wasteful number, since it uses less digits than its factorization.

2409684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2409684480 is about 49088.5371548185. The cubic root of 2409684480 is about 1340.6643471914.

The spelling of 2409684480 in words is "two billion, four hundred nine million, six hundred eighty-four thousand, four hundred eighty".