2278821440 has 336 divisors, whose sum is σ = 6829909632. Its totient is φ = 719437824.

The previous prime is 2278821437. The next prime is 2278821481. The reversal of 2278821440 is 441288722.

It is a junction number, because it is equal to n+sod(n) for n = 2278821394 and 2278821403.

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, 22124429 + ... + 22124531.

It is an arithmetic number, because the mean of its divisors is an integer number (20327112).

Almost surely, 2^2278821440 is an apocalyptic number.

2278821440 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 2278821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414954816).

2278821440 is an abundant number, since it is smaller than the sum of its proper divisors (4551088192).

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

2278821440 is a wasteful number, since it uses less digits than its factorization.

2278821440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 38.

The square root of 2278821440 is about 47737.0028384690. The cubic root of 2278821440 is about 1315.9420526771.

The spelling of 2278821440 in words is "two billion, two hundred seventy-eight million, eight hundred twenty-one thousand, four hundred forty".