2278854144 has 480 divisors, whose sum is σ = 8089196544. Its totient is φ = 603832320.

The previous prime is 2278854139. The next prime is 2278854181. The reversal of 2278854144 is 4414588722.

2278854144 is a `hidden beast` number, since 2 + 27 + 88 + 541 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2278854144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42997222 + ... + 42997274.

Almost surely, 2^2278854144 is an apocalyptic number.

2278854144 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 2278854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044598272).

2278854144 is an abundant number, since it is smaller than the sum of its proper divisors (5810342400).

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

2278854144 is a wasteful number, since it uses less digits than its factorization.

2278854144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its digits is 573440, while the sum is 45.

The square root of 2278854144 is about 47737.3453807394. The cubic root of 2278854144 is about 1315.9483477970.

The spelling of 2278854144 in words is "two billion, two hundred seventy-eight million, eight hundred fifty-four thousand, one hundred forty-four".