2606838273360 has 560 divisors, whose sum is σ = 9171504652800. Its totient is φ = 688743336960.

The previous prime is 2606838273343. The next prime is 2606838273383. The reversal of 2606838273360 is 633728386062.

It is a happy number.

2606838273360 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 8 + 3 + 8 + 273 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2606838273297 and 2606838273306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4294626177 + ... + 4294626783.

It is an arithmetic number, because the mean of its divisors is an integer number (16377686880).

Almost surely, 2^{2606838273360} is an apocalyptic number.

2606838273360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2606838273360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585752326400).

2606838273360 is an abundant number, since it is smaller than the sum of its proper divisors (6564666379440).

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

2606838273360 is a wasteful number, since it uses less digits than its factorization.

2606838273360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 2606838273360 in words is "two trillion, six hundred six billion, eight hundred thirty-eight million, two hundred seventy-three thousand, three hundred sixty".