2145120 has 96 divisors (see below), whose sum is σ = 6985440. Its totient is φ = 552960.

The previous prime is 2145113. The next prime is 2145131. The reversal of 2145120 is 215412.

It is a tau number, because it is divible by the number of its divisors (96).

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 2145120.

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, 19626 + ... + 19734.

It is an arithmetic number, because the mean of its divisors is an integer number (72765).

2^2145120 is an apocalyptic number.

2145120 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 2145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492720).

2145120 is an abundant number, since it is smaller than the sum of its proper divisors (4840320).

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

2145120 is a wasteful number, since it uses less digits than its factorization.

2145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2145120 is about 1464.6228183392. The cubic root of 2145120 is about 128.9685639402.

The spelling of 2145120 in words is "two million, one hundred forty-five thousand, one hundred twenty".