2128763610 has 96 divisors (see below), whose sum is σ = 5845245120. Its totient is φ = 536025600.

The previous prime is 2128763599. The next prime is 2128763617. The reversal of 2128763610 is 163678212.

2128763610 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 7 + 636 + 10 = 666.

2128763610 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2128763617) by changing a digit.

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, 564130 + ... + 567890.

It is an arithmetic number, because the mean of its divisors is an integer number (60887970).

Almost surely, 2^2128763610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2128763610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922622560).

2128763610 is an abundant number, since it is smaller than the sum of its proper divisors (3716481510).

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

2128763610 is a wasteful number, since it uses less digits than its factorization.

2128763610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2128763610 is about 46138.5263093654. The cubic root of 2128763610 is about 1286.3993516846.

The spelling of 2128763610 in words is "two billion, one hundred twenty-eight million, seven hundred sixty-three thousand, six hundred ten".