2129304960 has 192 divisors, whose sum is σ = 7524625680. Its totient is φ = 554545152.

The previous prime is 2129304949. The next prime is 2129305021. The reversal of 2129304960 is 694039212.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2129304960² = 9067879225361203200, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243382 + ... + 251978.

Almost surely, 2^2129304960 is an apocalyptic number.

2129304960 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 2129304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762312840).

2129304960 is an abundant number, since it is smaller than the sum of its proper divisors (5395320720).

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

2129304960 is a wasteful number, since it uses less digits than its factorization.

2129304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8665 (or 8650 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2129304960 is about 46144.3925087328. The cubic root of 2129304960 is about 1286.5083873180.

The spelling of 2129304960 in words is "two billion, one hundred twenty-nine million, three hundred four thousand, nine hundred sixty".