2105026560 has 576 divisors, whose sum is σ = 9015027840. Its totient is φ = 442368000.

The previous prime is 2105026559. The next prime is 2105026571. The reversal of 2105026560 is 656205012.

2105026560 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 0 + 2 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2105026560² = 8862273636610867200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8386435 + ... + 8386685.

It is an arithmetic number, because the mean of its divisors is an integer number (15651090).

Almost surely, 2^2105026560 is an apocalyptic number.

2105026560 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 2105026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507513920).

2105026560 is an abundant number, since it is smaller than the sum of its proper divisors (6910001280).

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

2105026560 is a wasteful number, since it uses less digits than its factorization.

2105026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2105026560 is about 45880.5684358858. The cubic root of 2105026560 is about 1281.6000822941.

The spelling of 2105026560 in words is "two billion, one hundred five million, twenty-six thousand, five hundred sixty".