2045120 has 112 divisors (see below), whose sum is σ = 6144768. Its totient is φ = 629760.

The previous prime is 2045093. The next prime is 2045129. The reversal of 2045120 is 215402.

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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 2045095 and 2045104.

It is not an unprimeable number, because it can be changed into a prime (2045129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24599 + ... + 24681.

It is an arithmetic number, because the mean of its divisors is an integer number (54864).

2^2045120 is an apocalyptic number.

2045120 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 2045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072384).

2045120 is an abundant number, since it is smaller than the sum of its proper divisors (4099648).

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

2045120 is a wasteful number, since it uses less digits than its factorization.

2045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2045120 is about 1430.0769210081. The cubic root of 2045120 is about 126.9325286927.

The spelling of 2045120 in words is "two million, forty-five thousand, one hundred twenty".