2225517606 has 80 divisors (see below), whose sum is σ = 5382813744. Its totient is φ = 683194176.

The previous prime is 2225517599. The next prime is 2225517629. The reversal of 2225517606 is 6067155222.

2225517606 is a `hidden beast` number, since 22 + 25 + 5 + 1 + 7 + 606 = 666.

It is a super-2 number, since 2×2225517606² = 9905857229231942472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1184740 + ... + 1186616.

Almost surely, 2^2225517606 is an apocalyptic number.

2225517606 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225517606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691406872).

2225517606 is an abundant number, since it is smaller than the sum of its proper divisors (3157296138).

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

2225517606 is a wasteful number, since it uses less digits than its factorization.

2225517606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2225517606 is about 47175.3919538566. The cubic root of 2225517606 is about 1305.6006113650.

The spelling of 2225517606 in words is "two billion, two hundred twenty-five million, five hundred seventeen thousand, six hundred six".