2768031 has 24 divisors (see below), whose sum is σ = 4661280. Its totient is φ = 1550016.

The previous prime is 2768011. The next prime is 2768041. The reversal of 2768031 is 1308672.

It is not a de Polignac number, because 2768031 - 2¹⁴ = 2751647 is a prime.

It is a super-2 number, since 2×2768031² = 15323991233922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2767986 and 2768004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2925 + ... + 3753.

It is an arithmetic number, because the mean of its divisors is an integer number (194220).

2^2768031 is an apocalyptic number.

2768031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2768031 is a deficient number, since it is larger than the sum of its proper divisors (1893249).

2768031 is a wasteful number, since it uses less digits than its factorization.

2768031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2768031 is about 1663.7400638321. The cubic root of 2768031 is about 140.4075031907.

The spelling of 2768031 in words is "two million, seven hundred sixty-eight thousand, thirty-one".