2605191680 has 320 divisors, whose sum is σ = 7869996288. Its totient is φ = 805109760.

The previous prime is 2605191637. The next prime is 2605191703. The reversal of 2605191680 is 861915062.

It is a tau number, because it is divible by the number of its divisors (320).

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, 12346775 + ... + 12346985.

Almost surely, 2^2605191680 is an apocalyptic number.

2605191680 is a gapful number since it is divisible by the number (20) 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 2605191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934998144).

2605191680 is an abundant number, since it is smaller than the sum of its proper divisors (5264804608).

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

2605191680 is a wasteful number, since it uses less digits than its factorization.

2605191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 2605191680 is about 51041.0783585143. The cubic root of 2605191680 is about 1375.9835043993.

The spelling of 2605191680 in words is "two billion, six hundred five million, one hundred ninety-one thousand, six hundred eighty".