2409735648 has 144 divisors (see below), whose sum is σ = 6894429696. Its totient is φ = 736093440.

The previous prime is 2409735631. The next prime is 2409735649. The reversal of 2409735648 is 8465379042.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2409735597 and 2409735606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409735649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1073215 + ... + 1075457.

It is an arithmetic number, because the mean of its divisors is an integer number (47877984).

Almost surely, 2^2409735648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2409735648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447214848).

2409735648 is an abundant number, since it is smaller than the sum of its proper divisors (4484694048).

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

2409735648 is a wasteful number, since it uses less digits than its factorization.

2409735648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 2409735648 is about 49089.0583327894. The cubic root of 2409735648 is about 1340.6738364874.

The spelling of 2409735648 in words is "two billion, four hundred nine million, seven hundred thirty-five thousand, six hundred forty-eight".