2107824768 has 336 divisors, whose sum is σ = 7339680810. Its totient is φ = 600929280.

The previous prime is 2107824749. The next prime is 2107824799. The reversal of 2107824768 is 8674287012.

It can be written as a sum of positive squares in only one way, i.e., 1922647104 + 185177664 = 43848^2 + 13608^2 .

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4572058 + ... + 4572518.

Almost surely, 2^2107824768 is an apocalyptic number.

2107824768 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 2107824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669840405).

2107824768 is an abundant number, since it is smaller than the sum of its proper divisors (5231856042).

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

2107824768 is an frugal number, since it uses more digits than its factorization.

2107824768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2107824768 is about 45911.0527868835. The cubic root of 2107824768 is about 1282.1677070782.

The spelling of 2107824768 in words is "two billion, one hundred seven million, eight hundred twenty-four thousand, seven hundred sixty-eight".