2606338715904 has 2016 divisors, whose sum is σ = 10562358030336. Its totient is φ = 620845793280.

The previous prime is 2606338715873. The next prime is 2606338715941. The reversal of 2606338715904 is 4095178336062.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×2606338715904² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 11481668239 + ... + 11481668465.

It is an arithmetic number, because the mean of its divisors is an integer number (5239264896).

It is a 1-persistent number, because it is pandigital, but 2⋅2606338715904 = 5212677431808 is not.

Almost surely, 2^{2606338715904} is an apocalyptic number.

2606338715904 is a gapful number since it is divisible by the number (24) 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 2606338715904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281179015168).

2606338715904 is an abundant number, since it is smaller than the sum of its proper divisors (7956019314432).

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

2606338715904 is a wasteful number, since it uses less digits than its factorization.

2606338715904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2606338715904 in words is "two trillion, six hundred six billion, three hundred thirty-eight million, seven hundred fifteen thousand, nine hundred four".