2285216388 has 240 divisors, whose sum is σ = 7410775680. Its totient is φ = 597943296.

The previous prime is 2285216371. The next prime is 2285216407. The reversal of 2285216388 is 8836125822.

2285216388 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 2 + 1 + 638 + 8 = 666.

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 79 ways as a sum of consecutive naturals, for example, 5277420 + ... + 5277852.

It is an arithmetic number, because the mean of its divisors is an integer number (30878232).

Almost surely, 2^2285216388 is an apocalyptic number.

2285216388 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 2285216388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705387840).

2285216388 is an abundant number, since it is smaller than the sum of its proper divisors (5125559292).

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

2285216388 is a wasteful number, since it uses less digits than its factorization.

2285216388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 637 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 2285216388 is about 47803.9369508412. The cubic root of 2285216388 is about 1317.1718581671.

The spelling of 2285216388 in words is "two billion, two hundred eighty-five million, two hundred sixteen thousand, three hundred eighty-eight".