2409704640 has 672 divisors, whose sum is σ = 10384657920. Its totient is φ = 519561216.

The previous prime is 2409704581. The next prime is 2409704651. The reversal of 2409704640 is 464079042.

2409704640 is a `hidden beast` number, since 2 + 4 + 0 + 9 + 7 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2409704595 and 2409704604.

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 95 ways as a sum of consecutive naturals, for example, 10341964 + ... + 10342196.

It is an arithmetic number, because the mean of its divisors is an integer number (15453360).

Almost surely, 2^2409704640 is an apocalyptic number.

2409704640 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 2409704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192328960).

2409704640 is an abundant number, since it is smaller than the sum of its proper divisors (7974953280).

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

2409704640 is a wasteful number, since it uses less digits than its factorization.

2409704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2409704640 is about 49088.7424976440. The cubic root of 2409704640 is about 1340.6680859545.

The spelling of 2409704640 in words is "two billion, four hundred nine million, seven hundred four thousand, six hundred forty".