2668100 has 18 divisors (see below), whose sum is σ = 5789994. Its totient is φ = 1067200.

The previous prime is 2668097. The next prime is 2668103. The reversal of 2668100 is 18662.

It is an interprime number because it is at equal distance from previous prime (2668097) and next prime (2668103).

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 2617924 = 224^2 + 1618^2 .

It is a super-2 number, since 2×2668100² = 14237515220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13241 + ... + 13440.

2^2668100 is an apocalyptic number.

2668100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2668100 is an abundant number, since it is smaller than the sum of its proper divisors (3121894).

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

2668100 is a wasteful number, since it uses less digits than its factorization.

2668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26695 (or 26688 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2668100 is about 1633.4319698108. The cubic root of 2668100 is about 138.6970958656.

The spelling of 2668100 in words is "two million, six hundred sixty-eight thousand, one hundred".