2472120 has 160 divisors (see below), whose sum is σ = 9583200. Its totient is φ = 559872.

The previous prime is 2472097. The next prime is 2472121. The reversal of 2472120 is 212742.

2472120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2472120² = 12222754588800, which contains 22 as substring.

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 = 2472093 and 2472102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22626 + ... + 22734.

It is an arithmetic number, because the mean of its divisors is an integer number (59895).

2^2472120 is an apocalyptic number.

2472120 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 2472120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791600).

2472120 is an abundant number, since it is smaller than the sum of its proper divisors (7111080).

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

2472120 is a wasteful number, since it uses less digits than its factorization.

2472120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2472120 is about 1572.2976817384. The cubic root of 2472120 is about 135.2144739006.

Adding to 2472120 its reverse (212742), we get a palindrome (2684862).

The spelling of 2472120 in words is "two million, four hundred seventy-two thousand, one hundred twenty".