2130042432 has 112 divisors (see below), whose sum is σ = 6478780032. Its totient is φ = 604999680.

The previous prime is 2130042427. The next prime is 2130042433. The reversal of 2130042432 is 2342400312.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×2130042432⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2130042399 and 2130042408.

It is not an unprimeable number, because it can be changed into a prime (2130042433) 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 15 ways as a sum of consecutive naturals, for example, 227932 + ... + 237092.

Almost surely, 2^2130042432 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 2130042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239390016).

2130042432 is an abundant number, since it is smaller than the sum of its proper divisors (4348737600).

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

2130042432 is a wasteful number, since it uses less digits than its factorization.

2130042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9356 (or 9346 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2130042432 is about 46152.3827337224. The cubic root of 2130042432 is about 1286.6568949953.

Adding to 2130042432 its reverse (2342400312), we get a palindrome (4472442744).

The spelling of 2130042432 in words is "two billion, one hundred thirty million, forty-two thousand, four hundred thirty-two".