2130414160 has 160 divisors (see below), whose sum is σ = 6117465600. Its totient is φ = 687310848.

The previous prime is 2130414151. The next prime is 2130414193. The reversal of 2130414160 is 614140312.

It is a congruent number.

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, 464197 + ... + 468763.

It is an arithmetic number, because the mean of its divisors is an integer number (38234160).

Almost surely, 2^2130414160 is an apocalyptic number.

2130414160 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 2130414160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058732800).

2130414160 is an abundant number, since it is smaller than the sum of its proper divisors (3987051440).

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

2130414160 is a wasteful number, since it uses less digits than its factorization.

2130414160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2130414160 is about 46156.4097390601. The cubic root of 2130414160 is about 1286.7317383516.

Adding to 2130414160 its reverse (614140312), we get a palindrome (2744554472).

The spelling of 2130414160 in words is "two billion, one hundred thirty million, four hundred fourteen thousand, one hundred sixty".