2430120 has 128 divisors (see below), whose sum is σ = 9123840. Its totient is φ = 503040.

The previous prime is 2430091. The next prime is 2430139. The reversal of 2430120 is 210342.

2430120 = T₉₅ + T₉₆ + ... + T₂₄₈.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2430096 and 2430105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9109 + ... + 9371.

It is an arithmetic number, because the mean of its divisors is an integer number (71280).

2^2430120 is an apocalyptic number.

2430120 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 2430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561920).

2430120 is an abundant number, since it is smaller than the sum of its proper divisors (6693720).

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

2430120 is a wasteful number, since it uses less digits than its factorization.

2430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2430120 is about 1558.8842163548. The cubic root of 2430120 is about 134.4443553997. Note that the first 3 decimals are identical.

Adding to 2430120 its reverse (210342), we get a palindrome (2640462).

It can be divided in two parts, 2430 and 120, that multiplied together give a square (291600 = 540²).

The spelling of 2430120 in words is "two million, four hundred thirty thousand, one hundred twenty".