2609516003328 has 960 divisors, whose sum is σ = 8816577369600. Its totient is φ = 756767784960.

The previous prime is 2609516003323. The next prime is 2609516003357. The reversal of 2609516003328 is 8233006159062.

2609516003328 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 5 + 1 + 600 + 3 + 32 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2609516003323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14417215398 + ... + 14417215578.

It is an arithmetic number, because the mean of its divisors is an integer number (9183934760).

Almost surely, 2^{2609516003328} 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 2609516003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408288684800).

2609516003328 is an abundant number, since it is smaller than the sum of its proper divisors (6207061366272).

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

2609516003328 is a wasteful number, since it uses less digits than its factorization.

2609516003328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2609516003328 in words is "two trillion, six hundred nine billion, five hundred sixteen million, three thousand, three hundred twenty-eight".