2129287160 has 384 divisors, whose sum is σ = 6701667840. Its totient is φ = 598348800.

The previous prime is 2129287157. The next prime is 2129287163. The reversal of 2129287160 is 617829212.

It is an interprime number because it is at equal distance from previous prime (2129287157) and next prime (2129287163).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129287163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19899827 + ... + 19899933.

It is an arithmetic number, because the mean of its divisors is an integer number (17452260).

Almost surely, 2^2129287160 is an apocalyptic number.

2129287160 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 2129287160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350833920).

2129287160 is an abundant number, since it is smaller than the sum of its proper divisors (4572380680).

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

2129287160 is a wasteful number, since it uses less digits than its factorization.

2129287160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 2129287160 is about 46144.1996354905. The cubic root of 2129287160 is about 1286.5048024373.

The spelling of 2129287160 in words is "two billion, one hundred twenty-nine million, two hundred eighty-seven thousand, one hundred sixty".