2279475200 has 108 divisors (see below), whose sum is σ = 5678630685. Its totient is φ = 907468800.

The previous prime is 2279475199. The next prime is 2279475221. The reversal of 2279475200 is 25749722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2233885696 + 45589504 = 47264^2 + 6752^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10803095 + ... + 10803305.

Almost surely, 2^2279475200 is an apocalyptic number.

2279475200 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 2279475200

2279475200 is an abundant number, since it is smaller than the sum of its proper divisors (3399155485).

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

2279475200 is an frugal number, since it uses more digits than its factorization.

2279475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 2279475200 is about 47743.8498657157. The cubic root of 2279475200 is about 1316.0678820501.

The spelling of 2279475200 in words is "two billion, two hundred seventy-nine million, four hundred seventy-five thousand, two hundred".