2675120 has 80 divisors (see below), whose sum is σ = 7553088. Its totient is φ = 860160.

The previous prime is 2675117. The next prime is 2675129. The reversal of 2675120 is 215762.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2675129) 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, 9380 + ... + 9660.

2^2675120 is an apocalyptic number.

2675120 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 2675120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776544).

2675120 is an abundant number, since it is smaller than the sum of its proper divisors (4877968).

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

2675120 is a wasteful number, since it uses less digits than its factorization.

2675120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 2675120 is about 1635.5794080386. The cubic root of 2675120 is about 138.8186306578.

The spelling of 2675120 in words is "two million, six hundred seventy-five thousand, one hundred twenty".