2142303120 has 160 divisors (see below), whose sum is σ = 7401609600. Its totient is φ = 569534976.

The previous prime is 2142303101. The next prime is 2142303131. The reversal of 2142303120 is 213032412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2142303093 and 2142303102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804351 + ... + 807009.

It is an arithmetic number, because the mean of its divisors is an integer number (46260060).

Almost surely, 2^2142303120 is an apocalyptic number.

2142303120 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 2142303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700804800).

2142303120 is an abundant number, since it is smaller than the sum of its proper divisors (5259306480).

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

2142303120 is a wasteful number, since it uses less digits than its factorization.

2142303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2142303120 is about 46285.0204709904. The cubic root of 2142303120 is about 1289.1208720807.

Adding to 2142303120 its reverse (213032412), we get a palindrome (2355335532).

The spelling of 2142303120 in words is "two billion, one hundred forty-two million, three hundred three thousand, one hundred twenty".