2129680800 has 432 divisors, whose sum is σ = 8242081848. Its totient is φ = 514252800.

The previous prime is 2129680799. The next prime is 2129680807. The reversal of 2129680800 is 80869212.

2129680800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 105760656 + 2023920144 = 10284^2 + 44988^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2129680807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5709414 + ... + 5709786.

Almost surely, 2^2129680800 is an apocalyptic number.

2129680800 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 2129680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121040924).

2129680800 is an abundant number, since it is smaller than the sum of its proper divisors (6112401048).

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

2129680800 is a wasteful number, since it uses less digits than its factorization.

2129680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2129680800 is about 46148.4647631966. The cubic root of 2129680800 is about 1286.5840760014.

The spelling of 2129680800 in words is "two billion, one hundred twenty-nine million, six hundred eighty thousand, eight hundred".