2278946880 has 448 divisors, whose sum is σ = 9387840000. Its totient is φ = 520224768.

The previous prime is 2278946867. The next prime is 2278946893. The reversal of 2278946880 is 886498722.

2278946880 is a `hidden beast` number, since 2 + 27 + 89 + 468 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2278946867) and next prime (2278946893).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963136 + ... + 2963904.

It is an arithmetic number, because the mean of its divisors is an integer number (20955000).

Almost surely, 2^2278946880 is an apocalyptic number.

2278946880 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 2278946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693920000).

2278946880 is an abundant number, since it is smaller than the sum of its proper divisors (7108893120).

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

2278946880 is an equidigital number, since it uses as much as digits as its factorization.

2278946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2278946880 is about 47738.3166858657. The cubic root of 2278946880 is about 1315.9661980151.

The spelling of 2278946880 in words is "two billion, two hundred seventy-eight million, nine hundred forty-six thousand, eight hundred eighty".