2278830800 has 120 divisors (see below), whose sum is σ = 5799765696. Its totient is φ = 858654720.

The previous prime is 2278830787. The next prime is 2278830847. The reversal of 2278830800 is 80388722.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614552 + ... + 618248.

Almost surely, 2^2278830800 is an apocalyptic number.

2278830800 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 2278830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899882848).

2278830800 is an abundant number, since it is smaller than the sum of its proper divisors (3520934896).

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

2278830800 is a wasteful number, since it uses less digits than its factorization.

2278830800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 2278830800 is about 47737.1008755245. The cubic root of 2278830800 is about 1315.9438543687.

The spelling of 2278830800 in words is "two billion, two hundred seventy-eight million, eight hundred thirty thousand, eight hundred".