2282416100 has 36 divisors (see below), whose sum is σ = 4954961508. Its totient is φ = 912576000.

The previous prime is 2282416091. The next prime is 2282416163. The reversal of 2282416100 is 16142822.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 25786084 + 2256630016 = 5078^2 + 47504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2282416100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385160 + ... + 391040.

Almost surely, 2^2282416100 is an apocalyptic number.

2282416100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2282416100 is an abundant number, since it is smaller than the sum of its proper divisors (2672545408).

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

2282416100 is a wasteful number, since it uses less digits than its factorization.

2282416100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9776 (or 9769 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2282416100 is about 47774.6386694866. The cubic root of 2282416100 is about 1316.6336205632.

Adding to 2282416100 its reverse (16142822), we get a palindrome (2298558922).

The spelling of 2282416100 in words is "two billion, two hundred eighty-two million, four hundred sixteen thousand, one hundred".