2481120 has 72 divisors (see below), whose sum is σ = 8471736. Its totient is φ = 661248.

The previous prime is 2481113. The next prime is 2481121. The reversal of 2481120 is 211842.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2481093 and 2481102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2481121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579 + ... + 2301.

It is an arithmetic number, because the mean of its divisors is an integer number (117663).

2^2481120 is an apocalyptic number.

2481120 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 2481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235868).

2481120 is an abundant number, since it is smaller than the sum of its proper divisors (5990616).

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

2481120 is a wasteful number, since it uses less digits than its factorization.

2481120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2481120 is about 1575.1571350186. The cubic root of 2481120 is about 135.3783624470.

Adding to 2481120 its reverse (211842), we get a palindrome (2692962).

It can be divided in two parts, 2481 and 120, that added together give a square (2601 = 51²).

The spelling of 2481120 in words is "two million, four hundred eighty-one thousand, one hundred twenty".