2129352192 has 480 divisors, whose sum is σ = 7401609600. Its totient is φ = 602173440.

The previous prime is 2129352163. The next prime is 2129352223. The reversal of 2129352192 is 2912539212.

2129352192 is a `hidden beast` number, since 2 + 129 + 3 + 521 + 9 + 2 = 666.

2129352192 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).

Its product of digits (19440) is a multiple of the sum of its prime factors (135).

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, 31781343 + ... + 31781409.

It is an arithmetic number, because the mean of its divisors is an integer number (15420020).

Almost surely, 2^2129352192 is an apocalyptic number.

2129352192 is a gapful number since it is divisible by the number (22) 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 2129352192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700804800).

2129352192 is an abundant number, since it is smaller than the sum of its proper divisors (5272257408).

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

2129352192 is a wasteful number, since it uses less digits than its factorization.

2129352192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 2129352192 is about 46144.9042907232. The cubic root of 2129352192 is about 1286.5178996418.

The spelling of 2129352192 in words is "two billion, one hundred twenty-nine million, three hundred fifty-two thousand, one hundred ninety-two".