2778048 has 168 divisors, whose sum is σ = 9985248. Its totient is φ = 718848.

The previous prime is 2778023. The next prime is 2778049. The reversal of 2778048 is 8408772.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2778049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52390 + ... + 52442.

It is an arithmetic number, because the mean of its divisors is an integer number (59436).

2^2778048 is an apocalyptic number.

2778048 is a gapful number since it is divisible by the number (28) 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 2778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992624).

2778048 is an abundant number, since it is smaller than the sum of its proper divisors (7207200).

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

2778048 is a wasteful number, since it uses less digits than its factorization.

2778048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2778048 is about 1666.7477313619. The cubic root of 2778048 is about 140.5766690208.

The spelling of 2778048 in words is "two million, seven hundred seventy-eight thousand, forty-eight".