2142432320 has 112 divisors (see below), whose sum is σ = 6018751488. Its totient is φ = 710830080.

The previous prime is 2142432319. The next prime is 2142432323. The reversal of 2142432320 is 232342412.

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

It is not an unprimeable number, because it can be changed into a prime (2142432323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54014 + ... + 84866.

Almost surely, 2^2142432320 is an apocalyptic number.

2142432320 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 2142432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009375744).

2142432320 is an abundant number, since it is smaller than the sum of its proper divisors (3876319168).

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

2142432320 is a wasteful number, since it uses less digits than its factorization.

2142432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30908 (or 30898 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2142432320 is about 46286.4161498814. The cubic root of 2142432320 is about 1289.1467867248.

Adding to 2142432320 its reverse (232342412), we get a palindrome (2374774732).

The spelling of 2142432320 in words is "two billion, one hundred forty-two million, four hundred thirty-two thousand, three hundred twenty".