2129680000 has 160 divisors (see below), whose sum is σ = 6060684960. Its totient is φ = 729984000.

The previous prime is 2129679977. The next prime is 2129680001. The reversal of 2129680000 is 869212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2129680001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 558099 + ... + 561901.

It is an arithmetic number, because the mean of its divisors is an integer number (37879281).

Almost surely, 2^2129680000 is an apocalyptic number.

2129680000 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 2129680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030342480).

2129680000 is an abundant number, since it is smaller than the sum of its proper divisors (3931004960).

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

2129680000 is an frugal number, since it uses more digits than its factorization.

2129680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2129680000 is about 46148.4560955185. The cubic root of 2129680000 is about 1286.5839149025.

The spelling of 2129680000 in words is "two billion, one hundred twenty-nine million, six hundred eighty thousand".