2605416068304 has 360 divisors, whose sum is σ = 8730820620288. Its totient is φ = 722817768960.

The previous prime is 2605416068261. The next prime is 2605416068309. The reversal of 2605416068304 is 4038606145062.

2605416068304 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 4 + 1 + 606 + 8 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2605416068304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605416068309) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42086334 + ... + 42148194.

Almost surely, 2^{2605416068304} is an apocalyptic number.

2605416068304 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 2605416068304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365410310144).

2605416068304 is an abundant number, since it is smaller than the sum of its proper divisors (6125404551984).

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

2605416068304 is a wasteful number, since it uses less digits than its factorization.

2605416068304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62063 (or 62047 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2605416068304 in words is "two trillion, six hundred five billion, four hundred sixteen million, sixty-eight thousand, three hundred four".