2778980 has 24 divisors (see below), whose sum is σ = 5979960. Its totient is φ = 1084160.

The previous prime is 2778967. The next prime is 2778989. The reversal of 2778980 is 898772.

2778980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 320356 + 2458624 = 566^2 + 1568^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (2778989) 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, 875 + ... + 2514.

It is an arithmetic number, because the mean of its divisors is an integer number (249165).

2^2778980 is an apocalyptic number.

2778980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2778980 is an abundant number, since it is smaller than the sum of its proper divisors (3200980).

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

2778980 is a wasteful number, since it uses less digits than its factorization.

2778980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The square root of 2778980 is about 1667.0272943176. The cubic root of 2778980 is about 140.5923878285.

The spelling of 2778980 in words is "two million, seven hundred seventy-eight thousand, nine hundred eighty".