2225716160 has 168 divisors, whose sum is σ = 5777234064. Its totient is φ = 816087040.

The previous prime is 2225716153. The next prime is 2225716169. The reversal of 2225716160 is 616175222.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225716169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3791387 + ... + 3791973.

It is an arithmetic number, because the mean of its divisors is an integer number (34388298).

Almost surely, 2^2225716160 is an apocalyptic number.

2225716160 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 2225716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888617032).

2225716160 is an abundant number, since it is smaller than the sum of its proper divisors (3551517904).

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

2225716160 is a wasteful number, since it uses less digits than its factorization.

2225716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 2225716160 is about 47177.4963303480. The cubic root of 2225716160 is about 1305.6394374661.

The spelling of 2225716160 in words is "two billion, two hundred twenty-five million, seven hundred sixteen thousand, one hundred sixty".