2509609216 has 81 divisors (see below), whose sum is σ = 5227979169. Its totient is φ = 1202304000.

The previous prime is 2509609211. The next prime is 2509609229. The reversal of 2509609216 is 6129069052.

The square root of 2509609216 is 50096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2411202816 + 98406400 = 49104^2 + 9920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2509609211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24847566 + ... + 24847666.

Almost surely, 2^2509609216 is an apocalyptic number.

2509609216 is the 50096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509609216

2509609216 is an abundant number, since it is smaller than the sum of its proper divisors (2718369953).

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

2509609216 is an frugal number, since it uses more digits than its factorization.

2509609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The cubic root of 2509609216 is about 1358.9454801332.

The spelling of 2509609216 in words is "two billion, five hundred nine million, six hundred nine thousand, two hundred sixteen".