2280778500 has 768 divisors, whose sum is σ = 9392947200. Its totient is φ = 423360000.

The previous prime is 2280778453. The next prime is 2280778501. The reversal of 2280778500 is 58770822.

2280778500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2280778501) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 73573485 + ... + 73573515.

It is an arithmetic number, because the mean of its divisors is an integer number (12230400).

Almost surely, 2^2280778500 is an apocalyptic number.

2280778500 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 2280778500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696473600).

2280778500 is an abundant number, since it is smaller than the sum of its proper divisors (7112168700).

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

2280778500 is a wasteful number, since it uses less digits than its factorization.

2280778500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 2280778500 is about 47757.4967936972. The cubic root of 2280778500 is about 1316.3186568012.

The spelling of 2280778500 in words is "two billion, two hundred eighty million, seven hundred seventy-eight thousand, five hundred".