2142149328 has 200 divisors, whose sum is σ = 7162309440. Its totient is φ = 610882560.

The previous prime is 2142149323. The next prime is 2142149329. The reversal of 2142149328 is 8239412412.

2142149328 is a `hidden beast` number, since 2 + 142 + 1 + 493 + 28 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2142149292 and 2142149301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142149323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 237933 + ... + 246771.

Almost surely, 2^2142149328 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 2142149328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581154720).

2142149328 is an abundant number, since it is smaller than the sum of its proper divisors (5020160112).

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

2142149328 is a wasteful number, since it uses less digits than its factorization.

2142149328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8887 (or 8872 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2142149328 is about 46283.3590829361. The cubic root of 2142149328 is about 1289.0900234705.

The spelling of 2142149328 in words is "two billion, one hundred forty-two million, one hundred forty-nine thousand, three hundred twenty-eight".