2605506245316 has 96 divisors (see below), whose sum is σ = 7277381153280. Its totient is φ = 801391352832.

The previous prime is 2605506245261. The next prime is 2605506245323. The reversal of 2605506245316 is 6135426055062.

2605506245316 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 5 + 0 + 624 + 5 + 3 + 16 = 666.

It is a super-3 number, since 3×2605506245316³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3381205 + ... + 4079651.

It is an arithmetic number, because the mean of its divisors is an integer number (75806053680).

Almost surely, 2^{2605506245316} is an apocalyptic number.

2605506245316 is a gapful number since it is divisible by the number (26) 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 2605506245316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638690576640).

2605506245316 is an abundant number, since it is smaller than the sum of its proper divisors (4671874907964).

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

2605506245316 is a wasteful number, since it uses less digits than its factorization.

2605506245316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701130 (or 701122 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 2605506245316 in words is "two trillion, six hundred five billion, five hundred six million, two hundred forty-five thousand, three hundred sixteen".