2119680 has 144 divisors (see below), whose sum is σ = 7665840. Its totient is φ = 540672.

The previous prime is 2119673. The next prime is 2119681. The reversal of 2119680 is 869112.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92149 + ... + 92171.

It is an arithmetic number, because the mean of its divisors is an integer number (53235).

2^2119680 is an apocalyptic number.

2119680 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 2119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832920).

2119680 is an abundant number, since it is smaller than the sum of its proper divisors (5546160).

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

2119680 is a wasteful number, since it uses less digits than its factorization.

2119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2119680 is about 1455.9120852579. The cubic root of 2119680 is about 128.4567018905.

It can be divided in two parts, 21 and 19680, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 2119680 in words is "two million, one hundred nineteen thousand, six hundred eighty".