2778080 has 48 divisors (see below), whose sum is σ = 6667920. Its totient is φ = 1093632.

The previous prime is 2778079. The next prime is 2778091. The reversal of 2778080 is 808772.

It is a happy number.

2778080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15431 + ... + 15609.

It is an arithmetic number, because the mean of its divisors is an integer number (138915).

2^2778080 is an apocalyptic number.

2778080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333960).

2778080 is an abundant number, since it is smaller than the sum of its proper divisors (3889840).

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

2778080 is a wasteful number, since it uses less digits than its factorization.

2778080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 2778080 is about 1666.7573308673. The cubic root of 2778080 is about 140.5772087806.

The spelling of 2778080 in words is "two million, seven hundred seventy-eight thousand, eighty".