2785878000 has 480 divisors, whose sum is σ = 10320410880. Its totient is φ = 699494400.

The previous prime is 2785877987. The next prime is 2785878019. The reversal of 2785878000 is 8785872.

It is a happy number.

2785878000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2785878000² = 15522232461768000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31301956 + ... + 31302044.

It is an arithmetic number, because the mean of its divisors is an integer number (21500856).

Almost surely, 2^2785878000 is an apocalyptic number.

2785878000 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 2785878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160205440).

2785878000 is an abundant number, since it is smaller than the sum of its proper divisors (7534532880).

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

2785878000 is a wasteful number, since it uses less digits than its factorization.

2785878000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 2785878000 is about 52781.4171844599. The cubic root of 2785878000 is about 1407.0861812118.

The spelling of 2785878000 in words is "two billion, seven hundred eighty-five million, eight hundred seventy-eight thousand".