2606346616320 has 240 divisors, whose sum is σ = 9360828837360. Its totient is φ = 695025598464.

The previous prime is 2606346616283. The next prime is 2606346616339. The reversal of 2606346616320 is 236166436062.

2606346616320 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 3 + 4 + 6 + 6 + 1 + 632 + 0 = 666.

2606346616320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1472785 + ... + 2716944.

It is an arithmetic number, because the mean of its divisors is an integer number (39003453489).

Almost surely, 2^{2606346616320} is an apocalyptic number.

2606346616320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2606346616320 is an abundant number, since it is smaller than the sum of its proper divisors (6754482221040).

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

2606346616320 is an frugal number, since it uses more digits than its factorization.

2606346616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189767 (or 4189739 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 2606346616320 in words is "two trillion, six hundred six billion, three hundred forty-six million, six hundred sixteen thousand, three hundred twenty".