2225180160 has 720 divisors, whose sum is σ = 9423990576. Its totient is φ = 501645312.

The previous prime is 2225180147. The next prime is 2225180189. The reversal of 2225180160 is 610815222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30481884 + ... + 30481956.

Almost surely, 2^2225180160 is an apocalyptic number.

2225180160 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 2225180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711995288).

2225180160 is an abundant number, since it is smaller than the sum of its proper divisors (7198810416).

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

2225180160 is an frugal number, since it uses more digits than its factorization.

2225180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2225180160 is about 47171.8153138079. The cubic root of 2225180160 is about 1305.5346204285.

Adding to 2225180160 its reverse (610815222), we get a palindrome (2835995382).

The spelling of 2225180160 in words is "two billion, two hundred twenty-five million, one hundred eighty thousand, one hundred sixty".