2163720000 has 560 divisors, whose sum is σ = 8220618560. Its totient is φ = 497664000.

The previous prime is 2163719993. The next prime is 2163720001. The reversal of 2163720000 is 273612.

It is a happy number.

2163720000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163720001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29639964 + ... + 29640036.

It is an arithmetic number, because the mean of its divisors is an integer number (14679676).

Almost surely, 2^2163720000 is an apocalyptic number.

2163720000 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 2163720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110309280).

2163720000 is an abundant number, since it is smaller than the sum of its proper divisors (6056898560).

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

2163720000 is a wasteful number, since it uses less digits than its factorization.

2163720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2163720000 is about 46515.8037660320. The cubic root of 2163720000 is about 1293.4024714755.

Adding to 2163720000 its reverse (273612), we get a palindrome (2163993612).

The spelling of 2163720000 in words is "two billion, one hundred sixty-three million, seven hundred twenty thousand".