2089920 has 112 divisors (see below), whose sum is σ = 7607808. Its totient is φ = 476160.

The previous prime is 2089897. The next prime is 2089933. The reversal of 2089920 is 299802.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6565 + ... + 6875.

2^2089920 is an apocalyptic number.

2089920 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 2089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803904).

2089920 is an abundant number, since it is smaller than the sum of its proper divisors (5517888).

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

2089920 is a wasteful number, since it uses less digits than its factorization.

2089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2089920 is about 1445.6555606368. The cubic root of 2089920 is about 127.8526951271.

The spelling of 2089920 in words is "two million, eighty-nine thousand, nine hundred twenty".