2159920 has 120 divisors (see below), whose sum is σ = 6361200. Its totient is φ = 677376.

The previous prime is 2159903. The next prime is 2159923. The reversal of 2159920 is 299512.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2⁹ + 1 + 5⁵ + 9² + 9⁵ + 2²¹ + 0 .

It is not an unprimeable number, because it can be changed into a prime (2159923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74466 + ... + 74494.

It is an arithmetic number, because the mean of its divisors is an integer number (53010).

2^2159920 is an apocalyptic number.

2159920 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 2159920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180600).

2159920 is an abundant number, since it is smaller than the sum of its proper divisors (4201280).

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

2159920 is a wasteful number, since it uses less digits than its factorization.

2159920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 2159920 is about 1469.6666288652. Note that the first 4 decimals coincide. The cubic root of 2159920 is about 129.2644855047.

The spelling of 2159920 in words is "two million, one hundred fifty-nine thousand, nine hundred twenty".