2011442160 has 480 divisors, whose sum is σ = 7979489280. Its totient is φ = 415328256.

The previous prime is 2011442123. The next prime is 2011442171. The reversal of 2011442160 is 612441102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9019809 + ... + 9020031.

It is an arithmetic number, because the mean of its divisors is an integer number (16623936).

Almost surely, 2^2011442160 is an apocalyptic number.

2011442160 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 2011442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989744640).

2011442160 is an abundant number, since it is smaller than the sum of its proper divisors (5968047120).

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

2011442160 is a wasteful number, since it uses less digits than its factorization.

2011442160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2011442160 is about 44849.1043388828. The cubic root of 2011442160 is about 1262.3191854242.

Adding to 2011442160 its reverse (612441102), we get a palindrome (2623883262).

The spelling of 2011442160 in words is "two billion, eleven million, four hundred forty-two thousand, one hundred sixty".