2252160 has 192 divisors, whose sum is σ = 8592480. Its totient is φ = 540672.

The previous prime is 2252149. The next prime is 2252161. The reversal of 2252160 is 612522.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252161) 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, 97909 + ... + 97931.

2^2252160 is an apocalyptic number.

2252160 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 2252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296240).

2252160 is an abundant number, since it is smaller than the sum of its proper divisors (6340320).

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

2252160 is a wasteful number, since it uses less digits than its factorization.

2252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2252160 is about 1500.7198272829. The cubic root of 2252160 is about 131.0789881617.

Adding to 2252160 its reverse (612522), we get a palindrome (2864682).

The spelling of 2252160 in words is "two million, two hundred fifty-two thousand, one hundred sixty".