2605909019868 has 288 divisors, whose sum is σ = 8579755860480. Its totient is φ = 676369854720.

The previous prime is 2605909019849. The next prime is 2605909019873. The reversal of 2605909019868 is 8689109095062.

2605909019868 is a `hidden beast` number, since 2 + 605 + 9 + 0 + 9 + 0 + 19 + 8 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84217296 + ... + 84248232.

It is an arithmetic number, because the mean of its divisors is an integer number (29790818960).

Almost surely, 2^{2605909019868} is an apocalyptic number.

2605909019868 is a gapful number since it is divisible by the number (28) 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 2605909019868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289877930240).

2605909019868 is an abundant number, since it is smaller than the sum of its proper divisors (5973846840612).

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

2605909019868 is a wasteful number, since it uses less digits than its factorization.

2605909019868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32422 (or 32407 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 2605909019868 in words is "two trillion, six hundred five billion, nine hundred nine million, nineteen thousand, eight hundred sixty-eight".