2159865120 has 288 divisors, whose sum is σ = 7986154176. Its totient is φ = 489216000.

The previous prime is 2159865073. The next prime is 2159865167. The reversal of 2159865120 is 215689512.

It is an interprime number because it is at equal distance from previous prime (2159865073) and next prime (2159865167).

It is a super-2 number, since 2×2159865120² = 9330034673185228800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3080770 + ... + 3081470.

It is an arithmetic number, because the mean of its divisors is an integer number (27729702).

Almost surely, 2^2159865120 is an apocalyptic number.

2159865120 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 2159865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993077088).

2159865120 is an abundant number, since it is smaller than the sum of its proper divisors (5826289056).

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

2159865120 is a wasteful number, since it uses less digits than its factorization.

2159865120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 2159865120 is about 46474.3490540750. The cubic root of 2159865120 is about 1292.6339069636.

The spelling of 2159865120 in words is "two billion, one hundred fifty-nine million, eight hundred sixty-five thousand, one hundred twenty".