2181906720 has 288 divisors, whose sum is σ = 8825701248. Its totient is φ = 498659328.

The previous prime is 2181906679. The next prime is 2181906773. The reversal of 2181906720 is 276091812.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×2181906720³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 268152 + ... + 276168.

It is an arithmetic number, because the mean of its divisors is an integer number (30644796).

Almost surely, 2^2181906720 is an apocalyptic number.

2181906720 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 2181906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412850624).

2181906720 is an abundant number, since it is smaller than the sum of its proper divisors (6643794528).

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

2181906720 is an equidigital number, since it uses as much as digits as its factorization.

2181906720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8054 (or 8034 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2181906720 is about 46710.8843846913. The cubic root of 2181906720 is about 1297.0161783269.

The spelling of 2181906720 in words is "two billion, one hundred eighty-one million, nine hundred six thousand, seven hundred twenty".