2131234128 has 240 divisors, whose sum is σ = 6471728640. Its totient is φ = 653184000.

The previous prime is 2131234057. The next prime is 2131234181. The reversal of 2131234128 is 8214321312.

2131234128 is a `hidden beast` number, since 2 + 1 + 312 + 341 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13074975 + ... + 13075137.

It is an arithmetic number, because the mean of its divisors is an integer number (26965536).

Almost surely, 2^2131234128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131234128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235864320).

2131234128 is an abundant number, since it is smaller than the sum of its proper divisors (4340494512).

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

2131234128 is a wasteful number, since it uses less digits than its factorization.

2131234128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 329 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2131234128 is about 46165.2913778306. The cubic root of 2131234128 is about 1286.8967991391.

The spelling of 2131234128 in words is "two billion, one hundred thirty-one million, two hundred thirty-four thousand, one hundred twenty-eight".