2778945000 has 160 divisors (see below), whose sum is σ = 9349882080. Its totient is φ = 684000000.

The previous prime is 2778944953. The next prime is 2778945011. The reversal of 2778945000 is 5498772.

2778945000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187875 + ... + 202125.

It is an arithmetic number, because the mean of its divisors is an integer number (58436763).

Almost surely, 2^2778945000 is an apocalyptic number.

2778945000 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 2778945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674941040).

2778945000 is an abundant number, since it is smaller than the sum of its proper divisors (6570937080).

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

2778945000 is a wasteful number, since it uses less digits than its factorization.

2778945000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14293 (or 14274 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 2778945000 is about 52715.6997487466. The cubic root of 2778945000 is about 1405.9179759343.

The spelling of 2778945000 in words is "two billion, seven hundred seventy-eight million, nine hundred forty-five thousand".