2606816910096 has 675 divisors, whose sum is σ = 9046268886501. Its totient is φ = 722601347328.

The previous prime is 2606816910079. The next prime is 2606816910101. The reversal of 2606816910096 is 6900196186062.

It is a happy number.

The square root of 2606816910096 is 1614564.

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

2606816910096 is a `hidden beast` number, since 2 + 606 + 8 + 16 + 9 + 10 + 0 + 9 + 6 = 666.

2606816910096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 305406548496 + 2301410361600 = 552636^2 + 1517040^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 17495415430 + ... + 17495415578.

Almost surely, 2^{2606816910096} is an apocalyptic number.

2606816910096 is the 1614564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2606816910096

2606816910096 is an abundant number, since it is smaller than the sum of its proper divisors (6439451976405).

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

2606816910096 is an equidigital number, since it uses as much as digits as its factorization.

2606816910096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 2606816910096 in words is "two trillion, six hundred six billion, eight hundred sixteen million, nine hundred ten thousand, ninety-six".