2279008000 has 144 divisors (see below), whose sum is σ = 5720420160. Its totient is φ = 904704000.

The previous prime is 2279007971. The next prime is 2279008009. The reversal of 2279008000 is 8009722.

It is a self number, because there is not a number n which added to its sum of digits gives 2279008000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2279008009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7327845 + ... + 7328155.

It is an arithmetic number, because the mean of its divisors is an integer number (39725140).

Almost surely, 2^2279008000 is an apocalyptic number.

2279008000 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 2279008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860210080).

2279008000 is an abundant number, since it is smaller than the sum of its proper divisors (3441412160).

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

2279008000 is an equidigital number, since it uses as much as digits as its factorization.

2279008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2279008000 is about 47738.9568382050. The cubic root of 2279008000 is about 1315.9779623869.

The spelling of 2279008000 in words is "two billion, two hundred seventy-nine million, eight thousand".