2245605120 has 540 divisors, whose sum is σ = 8881404840. Its totient is φ = 541347840.

The previous prime is 2245605119. The next prime is 2245605121. The reversal of 2245605120 is 215065422.

2245605120 is a `hidden beast` number, since 2 + 2 + 45 + 605 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2245605119) and next prime (2245605121).

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245605121) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 12545191 + ... + 12545369.

It is an arithmetic number, because the mean of its divisors is an integer number (16447046).

Almost surely, 2^2245605120 is an apocalyptic number.

2245605120 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 2245605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440702420).

2245605120 is an abundant number, since it is smaller than the sum of its proper divisors (6635799720).

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

2245605120 is a wasteful number, since it uses less digits than its factorization.

2245605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2245605120 is about 47387.8161556322. The cubic root of 2245605120 is about 1309.5169673801.

The spelling of 2245605120 in words is "two billion, two hundred forty-five million, six hundred five thousand, one hundred twenty".