2040212160 has 336 divisors, whose sum is σ = 8493166656. Its totient is φ = 438829056.

The previous prime is 2040212159. The next prime is 2040212183. The reversal of 2040212160 is 612120402.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 339744 + ... + 345696.

Almost surely, 2^2040212160 is an apocalyptic number.

2040212160 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 2040212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246583328).

2040212160 is an abundant number, since it is smaller than the sum of its proper divisors (6452954496).

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

2040212160 is a wasteful number, since it uses less digits than its factorization.

2040212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000 (or 5987 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2040212160 is about 45168.7077521596. The cubic root of 2040212160 is about 1268.3091060778.

Adding to 2040212160 its reverse (612120402), we get a palindrome (2652332562).

The spelling of 2040212160 in words is "two billion, forty million, two hundred twelve thousand, one hundred sixty".