2142242320 has 40 divisors (see below), whose sum is σ = 5030046360. Its totient is φ = 848409600.

The previous prime is 2142242303. The next prime is 2142242339. The reversal of 2142242320 is 232422412.

It can be written as a sum of positive squares in 4 ways, for example, as 1030153216 + 1112089104 = 32096^2 + 33348^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2142242291 and 2142242300.

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 7 ways as a sum of consecutive naturals, for example, 124485 + ... + 140644.

It is an arithmetic number, because the mean of its divisors is an integer number (125751159).

Almost surely, 2^2142242320 is an apocalyptic number.

2142242320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142242320 is an abundant number, since it is smaller than the sum of its proper divisors (2887804040).

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

2142242320 is a wasteful number, since it uses less digits than its factorization.

2142242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265243 (or 265237 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2142242320 is about 46284.3636663615. The cubic root of 2142242320 is about 1289.1086765935.

Adding to 2142242320 its reverse (232422412), we get a palindrome (2374664732).

The spelling of 2142242320 in words is "two billion, one hundred forty-two million, two hundred forty-two thousand, three hundred twenty".