2278080000 has 600 divisors, whose sum is σ = 9472505328. Its totient is φ = 516096000.

The previous prime is 2278079959. The next prime is 2278080023. The reversal of 2278080000 is 808722.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20159944 + ... + 20160056.

Almost surely, 2^2278080000 is an apocalyptic number.

2278080000 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 2278080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736252664).

2278080000 is an abundant number, since it is smaller than the sum of its proper divisors (7194425328).

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

2278080000 is an equidigital number, since it uses as much as digits as its factorization.

2278080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2278080000 is about 47729.2363232432. The cubic root of 2278080000 is about 1315.7993183825.

Adding to 2278080000 its reverse (808722), we get a palindrome (2278888722).

The spelling of 2278080000 in words is "two billion, two hundred seventy-eight million, eighty thousand".