2407120 has 20 divisors (see below), whose sum is σ = 5596740. Its totient is φ = 962816.

The previous prime is 2407117. The next prime is 2407127. The reversal of 2407120 is 217042.

It can be written as a sum of positive squares in 2 ways, for example, as 1024144 + 1382976 = 1012^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2407094 and 2407103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2407127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14965 + ... + 15124.

It is an arithmetic number, because the mean of its divisors is an integer number (279837).

2^2407120 is an apocalyptic number.

2407120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2407120 is an abundant number, since it is smaller than the sum of its proper divisors (3189620).

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

2407120 is a wasteful number, since it uses less digits than its factorization.

2407120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30102 (or 30096 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 2407120 is about 1551.4896067973. The cubic root of 2407120 is about 134.0188582652.

The spelling of 2407120 in words is "two million, four hundred seven thousand, one hundred twenty".