2078668100 has 18 divisors (see below), whose sum is σ = 4510709994. Its totient is φ = 831467200.

The previous prime is 2078668087. The next prime is 2078668129. The reversal of 2078668100 is 18668702.

It can be written as a sum of positive squares in 3 ways, for example, as 37636 + 2078630464 = 194^2 + 45592^2 .

It is a super-2 number, since 2×2078668100² = 8641722139915220000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 10393241 + ... + 10393440.

Almost surely, 2^2078668100 is an apocalyptic number.

2078668100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2078668100 is an abundant number, since it is smaller than the sum of its proper divisors (2432041894).

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

2078668100 is a wasteful number, since it uses less digits than its factorization.

2078668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20786695 (or 20786688 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 2078668100 is about 45592.4127459822. The cubic root of 2078668100 is about 1276.2283382146.

The spelling of 2078668100 in words is "two billion, seventy-eight million, six hundred sixty-eight thousand, one hundred".