2115920 has 20 divisors (see below), whose sum is σ = 4919700. Its totient is φ = 846336.

The previous prime is 2115877. The next prime is 2115923. The reversal of 2115920 is 295112.

It can be written as a sum of positive squares in 2 ways, for example, as 456976 + 1658944 = 676^2 + 1288^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2115892 and 2115901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13145 + ... + 13304.

It is an arithmetic number, because the mean of its divisors is an integer number (245985).

2^2115920 is an apocalyptic number.

2115920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2115920 is an abundant number, since it is smaller than the sum of its proper divisors (2803780).

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

2115920 is a wasteful number, since it uses less digits than its factorization.

2115920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26462 (or 26456 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 2115920 is about 1454.6202253509. The cubic root of 2115920 is about 128.3807025149.

The spelling of 2115920 in words is "two million, one hundred fifteen thousand, nine hundred twenty".