2768100 has 36 divisors (see below), whose sum is σ = 8009904. Its totient is φ = 738080.

The previous prime is 2768071. The next prime is 2768123. The reversal of 2768100 is 18672.

2768100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2768100² = 15324755220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4314 + ... + 4913.

2^2768100 is an apocalyptic number.

2768100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768100 is an abundant number, since it is smaller than the sum of its proper divisors (5241804).

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

2768100 is a wasteful number, since it uses less digits than its factorization.

2768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9244 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2768100 is about 1663.7608001152. The cubic root of 2768100 is about 140.4086698488.

The spelling of 2768100 in words is "two million, seven hundred sixty-eight thousand, one hundred".