2778893800 has 96 divisors (see below), whose sum is σ = 6666001920. Its totient is φ = 1076768000.

The previous prime is 2778893783. The next prime is 2778893813. The reversal of 2778893800 is 83988772.

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, 947937 + ... + 950863.

It is an arithmetic number, because the mean of its divisors is an integer number (69437520).

Almost surely, 2^2778893800 is an apocalyptic number.

2778893800 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 2778893800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333000960).

2778893800 is an abundant number, since it is smaller than the sum of its proper divisors (3887108120).

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

2778893800 is a wasteful number, since it uses less digits than its factorization.

2778893800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The square root of 2778893800 is about 52715.2141226800. The cubic root of 2778893800 is about 1405.9093415494.

The spelling of 2778893800 in words is "two billion, seven hundred seventy-eight million, eight hundred ninety-three thousand, eight hundred".