2250611160 has 192 divisors, whose sum is σ = 8108190720. Its totient is φ = 497790720.

The previous prime is 2250611159. The next prime is 2250611201. The reversal of 2250611160 is 611160522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2250611160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176107 + ... + 188453.

It is an arithmetic number, because the mean of its divisors is an integer number (42230160).

Almost surely, 2^2250611160 is an apocalyptic number.

2250611160 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 2250611160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054095360).

2250611160 is an abundant number, since it is smaller than the sum of its proper divisors (5857579560).

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

2250611160 is a wasteful number, since it uses less digits than its factorization.

2250611160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12406 (or 12395 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2250611160 is about 47440.6066571666. The cubic root of 2250611160 is about 1310.4893302386.

Adding to 2250611160 its reverse (611160522), we get a palindrome (2861771682).

The spelling of 2250611160 in words is "two billion, two hundred fifty million, six hundred eleven thousand, one hundred sixty".