2668350100 has 36 divisors (see below), whose sum is σ = 6235731964. Its totient is φ = 985236480.

The previous prime is 2668350089. The next prime is 2668350103. The reversal of 2668350100 is 10538662.

2668350100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 134838544 + 2533511556 = 11612^2 + 50334^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668350103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1024989 + ... + 1027588.

Almost surely, 2^2668350100 is an apocalyptic number.

2668350100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2668350100 is an abundant number, since it is smaller than the sum of its proper divisors (3567381864).

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

2668350100 is a wasteful number, since it uses less digits than its factorization.

2668350100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052604 (or 2052597 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2668350100 is about 51656.0751509442. The cubic root of 2668350100 is about 1387.0142941884.

Adding to 2668350100 its reverse (10538662), we get a palindrome (2678888762).

The spelling of 2668350100 in words is "two billion, six hundred sixty-eight million, three hundred fifty thousand, one hundred".