2105496288 has 288 divisors, whose sum is σ = 7323916320. Its totient is φ = 586414080.

The previous prime is 2105496227. The next prime is 2105496293. The reversal of 2105496288 is 8826945012.

2105496288 is a `hidden beast` number, since 2 + 10 + 5 + 4 + 9 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2105496288² = 8866229237563557888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1735170 + ... + 1736382.

It is an arithmetic number, because the mean of its divisors is an integer number (25430265).

Almost surely, 2^2105496288 is an apocalyptic number.

2105496288 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 2105496288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661958160).

2105496288 is an abundant number, since it is smaller than the sum of its proper divisors (5218420032).

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

2105496288 is a wasteful number, since it uses less digits than its factorization.

2105496288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2105496288 is about 45885.6871802090. The cubic root of 2105496288 is about 1281.6954031295.

The spelling of 2105496288 in words is "two billion, one hundred five million, four hundred ninety-six thousand, two hundred eighty-eight".