2161459960 has 128 divisors (see below), whose sum is σ = 5580057600. Its totient is φ = 745845760.

The previous prime is 2161459933. The next prime is 2161459981. The reversal of 2161459960 is 699541612.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1385661 + ... + 1387219.

It is an arithmetic number, because the mean of its divisors is an integer number (43594200).

Almost surely, 2^2161459960 is an apocalyptic number.

2161459960 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 2161459960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790028800).

2161459960 is an abundant number, since it is smaller than the sum of its proper divisors (3418597640).

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

2161459960 is a wasteful number, since it uses less digits than its factorization.

2161459960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 2161459960 is about 46491.5041701169. The cubic root of 2161459960 is about 1292.9519880999.

The spelling of 2161459960 in words is "two billion, one hundred sixty-one million, four hundred fifty-nine thousand, nine hundred sixty".