2142300160 has 576 divisors, whose sum is σ = 7319894400. Its totient is φ = 583925760.

The previous prime is 2142300133. The next prime is 2142300233. The reversal of 2142300160 is 610032412.

2142300160 = 403² + 404² + ... + 1865².

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112752631 + ... + 112752649.

It is an arithmetic number, because the mean of its divisors is an integer number (12708150).

Almost surely, 2^2142300160 is an apocalyptic number.

2142300160 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 2142300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659947200).

2142300160 is an abundant number, since it is smaller than the sum of its proper divisors (5177594240).

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

2142300160 is a wasteful number, since it uses less digits than its factorization.

2142300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2142300160 is about 46284.9884951914. The cubic root of 2142300160 is about 1289.1202783584.

Adding to 2142300160 its reverse (610032412), we get a palindrome (2752332572).

The spelling of 2142300160 in words is "two billion, one hundred forty-two million, three hundred thousand, one hundred sixty".