2409706624 has 64 divisors (see below), whose sum is σ = 5179398840. Its totient is φ = 1110122496.

The previous prime is 2409706613. The next prime is 2409706669. The reversal of 2409706624 is 4266079042.

It can be written as a sum of positive squares in 4 ways, for example, as 2171560000 + 238146624 = 46600^2 + 15432^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1258692 + ... + 1260604.

Almost surely, 2^2409706624 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 2409706624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589699420).

2409706624 is an abundant number, since it is smaller than the sum of its proper divisors (2769692216).

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

2409706624 is a wasteful number, since it uses less digits than its factorization.

2409706624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 2409706624 is about 49088.7627059391. The cubic root of 2409706624 is about 1340.6684538951.

The spelling of 2409706624 in words is "two billion, four hundred nine million, seven hundred six thousand, six hundred twenty-four".