2780946 has 48 divisors (see below), whose sum is σ = 7195680. Its totient is φ = 793800.

The previous prime is 2780933. The next prime is 2780951. The reversal of 2780946 is 6490872.

2780946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2780946.

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 23 ways as a sum of consecutive naturals, for example, 2121 + ... + 3171.

It is an arithmetic number, because the mean of its divisors is an integer number (149910).

2^2780946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2780946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597840).

2780946 is an abundant number, since it is smaller than the sum of its proper divisors (4414734).

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

2780946 is a wasteful number, since it uses less digits than its factorization.

2780946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2780946 is about 1667.6168624717. The cubic root of 2780946 is about 140.6255342202.

The spelling of 2780946 in words is "two million, seven hundred eighty thousand, nine hundred forty-six".