2778867 has 60 divisors (see below), whose sum is σ = 5314320. Its totient is φ = 1415232.

The previous prime is 2778863. The next prime is 2778877. The reversal of 2778867 is 7688772.

It is not a de Polignac number, because 2778867 - 2² = 2778863 is a prime.

2778867 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2778863) 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 59 ways as a sum of consecutive naturals, for example, 95809 + ... + 95837.

It is an arithmetic number, because the mean of its divisors is an integer number (88572).

2^2778867 is an apocalyptic number.

2778867 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2778867 is a deficient number, since it is larger than the sum of its proper divisors (2535453).

2778867 is a wasteful number, since it uses less digits than its factorization.

2778867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 52 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 2778867 is about 1666.9934013067. The cubic root of 2778867 is about 140.5904821946.

The spelling of 2778867 in words is "two million, seven hundred seventy-eight thousand, eight hundred sixty-seven".