2778441120 has 648 divisors, whose sum is σ = 11994356556. Its totient is φ = 583704576.

The previous prime is 2778441109. The next prime is 2778441151. The reversal of 2778441120 is 211448772.

2778441120 is a `hidden beast` number, since 27 + 78 + 441 + 120 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 74857104 + 2703584016 = 8652^2 + 51996^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11924524 + ... + 11924756.

Almost surely, 2^2778441120 is an apocalyptic number.

2778441120 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 2778441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997178278).

2778441120 is an abundant number, since it is smaller than the sum of its proper divisors (9215915436).

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

2778441120 is a wasteful number, since it uses less digits than its factorization.

2778441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 263 counting only the distinct ones).

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

The square root of 2778441120 is about 52710.9203106908. The cubic root of 2778441120 is about 1405.8329968300.

Adding to 2778441120 its reverse (211448772), we get a palindrome (2989889892).

The spelling of 2778441120 in words is "two billion, seven hundred seventy-eight million, four hundred forty-one thousand, one hundred twenty".