2409604704 has 216 divisors, whose sum is σ = 7664110272. Its totient is φ = 717050880.

The previous prime is 2409604679. The next prime is 2409604709. The reversal of 2409604704 is 4074069042.

2409604704 is a `hidden beast` number, since 2 + 40 + 9 + 604 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409604709) 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 35 ways as a sum of consecutive naturals, for example, 1508034 + ... + 1509630.

It is an arithmetic number, because the mean of its divisors is an integer number (35481992).

Almost surely, 2^2409604704 is an apocalyptic number.

2409604704 is a gapful number since it is divisible by the number (24) 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 2409604704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832055136).

2409604704 is an abundant number, since it is smaller than the sum of its proper divisors (5254505568).

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

2409604704 is a wasteful number, since it uses less digits than its factorization.

2409604704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1646 counting only the distinct ones).

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

The square root of 2409604704 is about 49087.7245754985. The cubic root of 2409604704 is about 1340.6495521674.

The spelling of 2409604704 in words is "two billion, four hundred nine million, six hundred four thousand, seven hundred four".