2541120 has 56 divisors (see below), whose sum is σ = 8071104. Its totient is φ = 677376.

The previous prime is 2541089. The next prime is 2541127. The reversal of 2541120 is 211452.

2541120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 2541120.

It is not an unprimeable number, because it can be changed into a prime (2541127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364 + ... + 2283.

2^2541120 is an apocalyptic number.

2541120 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 2541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035552).

2541120 is an abundant number, since it is smaller than the sum of its proper divisors (5529984).

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

2541120 is a wasteful number, since it uses less digits than its factorization.

2541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2657 counting only the distinct ones).

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

The square root of 2541120 is about 1594.0890815761. The cubic root of 2541120 is about 136.4609503347.

Adding to 2541120 its reverse (211452), we get a palindrome (2752572).

The spelling of 2541120 in words is "two million, five hundred forty-one thousand, one hundred twenty".