2067120000 has 800 divisors, whose sum is σ = 8675191800. Its totient is φ = 483840000.

The previous prime is 2067119891. The next prime is 2067120007. The reversal of 2067120000 is 217602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (800).

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 (2067120007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 71279986 + ... + 71280014.

Almost surely, 2^2067120000 is an apocalyptic number.

2067120000 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 2067120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337595900).

2067120000 is an abundant number, since it is smaller than the sum of its proper divisors (6608071800).

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

2067120000 is an equidigital number, since it uses as much as digits as its factorization.

2067120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2067120000 is about 45465.5913851343. The cubic root of 2067120000 is about 1273.8605737304.

Adding to 2067120000 its reverse (217602), we get a palindrome (2067337602).

The spelling of 2067120000 in words is "two billion, sixty-seven million, one hundred twenty thousand".