2778144 has 48 divisors (see below), whose sum is σ = 7473312. Its totient is φ = 903168.

The previous prime is 2778143. The next prime is 2778151. The reversal of 2778144 is 4418772.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2778143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3792 + ... + 4464.

It is an arithmetic number, because the mean of its divisors is an integer number (155694).

2^2778144 is an apocalyptic number.

2778144 is a gapful number since it is divisible by the number (24) 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 2778144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736656).

2778144 is an abundant number, since it is smaller than the sum of its proper divisors (4695168).

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

2778144 is a wasteful number, since it uses less digits than its factorization.

2778144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 2778144 is about 1666.7765297124. The cubic root of 2778144 is about 140.5782882879.

The spelling of 2778144 in words is "two million, seven hundred seventy-eight thousand, one hundred forty-four".