2279821248 has 112 divisors (see below), whose sum is σ = 7055104000. Its totient is φ = 719933184.

The previous prime is 2279821231. The next prime is 2279821307. The reversal of 2279821248 is 8421289722.

It is a happy number.

2279821248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1888 + ... + 67551.

It is an arithmetic number, because the mean of its divisors is an integer number (62992000).

Almost surely, 2^2279821248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2279821248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527552000).

2279821248 is an abundant number, since it is smaller than the sum of its proper divisors (4775282752).

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

2279821248 is a wasteful number, since it uses less digits than its factorization.

2279821248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69479 (or 69463 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2279821248 is about 47747.4737342197. The cubic root of 2279821248 is about 1316.1344762695.

The spelling of 2279821248 in words is "two billion, two hundred seventy-nine million, eight hundred twenty-one thousand, two hundred forty-eight".