2129368320 has 432 divisors, whose sum is σ = 7955019072. Its totient is φ = 523960320.

The previous prime is 2129368253. The next prime is 2129368357. The reversal of 2129368320 is 238639212.

2129368320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 16254655 + ... + 16254785.

It is an arithmetic number, because the mean of its divisors is an integer number (18414396).

Almost surely, 2^2129368320 is an apocalyptic number.

2129368320 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 2129368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977509536).

2129368320 is an abundant number, since it is smaller than the sum of its proper divisors (5825650752).

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

2129368320 is a wasteful number, since it uses less digits than its factorization.

2129368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2129368320 is about 46145.0790442491. The cubic root of 2129368320 is about 1286.5211477202.

The spelling of 2129368320 in words is "two billion, one hundred twenty-nine million, three hundred sixty-eight thousand, three hundred twenty".