2605801968 has 720 divisors, whose sum is σ = 10340766720. Its totient is φ = 620524800.

The previous prime is 2605801967. The next prime is 2605801969. The reversal of 2605801968 is 8691085062.

2605801968 is a `hidden beast` number, since 2 + 6 + 0 + 580 + 1 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (2605801967) and next prime (2605801969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605801967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84058113 + ... + 84058143.

It is an arithmetic number, because the mean of its divisors is an integer number (14362176).

Almost surely, 2^2605801968 is an apocalyptic number.

2605801968 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 2605801968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170383360).

2605801968 is an abundant number, since it is smaller than the sum of its proper divisors (7734964752).

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

2605801968 is a wasteful number, since it uses less digits than its factorization.

2605801968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2605801968 is about 51047.0564087686. The cubic root of 2605801968 is about 1376.0909412357.

The spelling of 2605801968 in words is "two billion, six hundred five million, eight hundred one thousand, nine hundred sixty-eight".