2105658624 has 216 divisors, whose sum is σ = 6099377760. Its totient is φ = 644513792.

The previous prime is 2105658617. The next prime is 2105658629. The reversal of 2105658624 is 4268565012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105658629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11763367 + ... + 11763545.

It is an arithmetic number, because the mean of its divisors is an integer number (28237860).

Almost surely, 2^2105658624 is an apocalyptic number.

2105658624 is a gapful number since it is divisible by the number (24) 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 2105658624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049688880).

2105658624 is an abundant number, since it is smaller than the sum of its proper divisors (3993719136).

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

2105658624 is a wasteful number, since it uses less digits than its factorization.

2105658624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 2105658624 is about 45887.4560637218. The cubic root of 2105658624 is about 1281.7283423086.

The spelling of 2105658624 in words is "two billion, one hundred five million, six hundred fifty-eight thousand, six hundred twenty-four".