2170158144 has 224 divisors, whose sum is σ = 7207130112. Its totient is φ = 559872000.

The previous prime is 2170158127. The next prime is 2170158157. The reversal of 2170158144 is 4418510712.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2675499 + ... + 2676309.

It is an arithmetic number, because the mean of its divisors is an integer number (32174688).

Almost surely, 2^2170158144 is an apocalyptic number.

2170158144 is a gapful number since it is divisible by the number (24) 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 2170158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603565056).

2170158144 is an abundant number, since it is smaller than the sum of its proper divisors (5036971968).

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

2170158144 is a wasteful number, since it uses less digits than its factorization.

2170158144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 2170158144 is about 46584.9561983265. The cubic root of 2170158144 is about 1294.6840399296.

Adding to 2170158144 its reverse (4418510712), we get a palindrome (6588668856).

The spelling of 2170158144 in words is "two billion, one hundred seventy million, one hundred fifty-eight thousand, one hundred forty-four".