2754120 has 64 divisors (see below), whose sum is σ = 8424000. Its totient is φ = 720128.

The previous prime is 2754113. The next prime is 2754127. The reversal of 2754120 is 214572.

It is an interprime number because it is at equal distance from previous prime (2754113) and next prime (2754127).

It is not an unprimeable number, because it can be changed into a prime (2754127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6886 + ... + 7274.

It is an arithmetic number, because the mean of its divisors is an integer number (131625).

2^2754120 is an apocalyptic number.

2754120 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 2754120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212000).

2754120 is an abundant number, since it is smaller than the sum of its proper divisors (5669880).

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

2754120 is a wasteful number, since it uses less digits than its factorization.

2754120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2754120 is about 1659.5541569952. The cubic root of 2754120 is about 140.1718976942.

Adding to 2754120 its reverse (214572), we get a palindrome (2968692).

The spelling of 2754120 in words is "two million, seven hundred fifty-four thousand, one hundred twenty".