2544120 has 96 divisors (see below), whose sum is σ = 8536320. Its totient is φ = 656640.

The previous prime is 2544079. The next prime is 2544121. The reversal of 2544120 is 214452.

2544120 is a `hidden beast` number, since 2 + 544 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2544093 and 2544102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2544121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13225 + ... + 13415.

It is an arithmetic number, because the mean of its divisors is an integer number (88920).

2^2544120 is an apocalyptic number.

2544120 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 2544120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268160).

2544120 is an abundant number, since it is smaller than the sum of its proper divisors (5992200).

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

2544120 is a wasteful number, since it uses less digits than its factorization.

2544120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2544120 is about 1595.0297802862. The cubic root of 2544120 is about 136.5146303201.

Adding to 2544120 its reverse (214452), we get a palindrome (2758572).

The spelling of 2544120 in words is "two million, five hundred forty-four thousand, one hundred twenty".