2778096 has 40 divisors (see below), whose sum is σ = 7412224. Its totient is φ = 895680.

The previous prime is 2778091. The next prime is 2778107. The reversal of 2778096 is 6908772.

2778096 = 279² + 280² + ... + 310².

2778096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2778091) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 555 + ... + 2421.

2^2778096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2778096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706112).

2778096 is an abundant number, since it is smaller than the sum of its proper divisors (4634128).

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

2778096 is a wasteful number, since it uses less digits than its factorization.

2778096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 2778096 is about 1666.7621305993. The cubic root of 2778096 is about 140.5774786590.

The spelling of 2778096 in words is "two million, seven hundred seventy-eight thousand, ninety-six".