2272478208 has 352 divisors, whose sum is σ = 8143457280. Its totient is φ = 544112640.

The previous prime is 2272478171. The next prime is 2272478209. The reversal of 2272478208 is 8028742722.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2272478208.

It is not an unprimeable number, because it can be changed into a prime (2272478209) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3074703 + ... + 3075441.

Almost surely, 2^2272478208 is an apocalyptic number.

2272478208 is a gapful number since it is divisible by the number (28) 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 2272478208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071728640).

2272478208 is an abundant number, since it is smaller than the sum of its proper divisors (5870979072).

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

2272478208 is a wasteful number, since it uses less digits than its factorization.

2272478208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 2272478208 is about 47670.5171778113. The cubic root of 2272478208 is about 1314.7199176031.

The spelling of 2272478208 in words is "two billion, two hundred seventy-two million, four hundred seventy-eight thousand, two hundred eight".