2011920 has 80 divisors (see below), whose sum is σ = 6374592. Its totient is φ = 524800.

The previous prime is 2011913. The next prime is 2011939. The reversal of 2011920 is 291102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2011920.

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, 19870 + ... + 19970.

2^2011920 is an apocalyptic number.

2011920 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 2011920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187296).

2011920 is an abundant number, since it is smaller than the sum of its proper divisors (4362672).

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

2011920 is a wasteful number, since it uses less digits than its factorization.

2011920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2011920 is about 1418.4216580411. The cubic root of 2011920 is about 126.2419136735.

The spelling of 2011920 in words is "two million, eleven thousand, nine hundred twenty".